{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Graph\n",
    "\n",
    "<img src=https://momath.org/wp-content/uploads/2013/10/graph_theory-300x292.jpeg width=200px align=right>\n",
    "\n",
    "- Represent connections between objects\n",
    "\n",
    "> **Vertex**: a node of the graph <br>\n",
    "> **Edge**: a link between two nodes \n",
    "\n",
    "- A graph consists of a set of vertices and a set of edges\n",
    "\n",
    ">$ G\\,(V,E) $\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Similarity Graph\n",
    "\n",
    "- Connect similar objects in a dataset\n",
    "\n",
    "> Measure of similarity on the edges\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "class vert(object):\n",
    "    def __init__(self, data=None):\n",
    "        self.data = data\n",
    "\n",
    "class edge(object):\n",
    "    def __init__(self, A, B, w=1):\n",
    "        self.A, self.B = A, B\n",
    "        self.w = w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "zero \t--<1.0>--\t one\n",
      "zero \t--<1.0>--\t two\n",
      "zero \t--<1.0>--\t three\n",
      "one \t--<1.0>--\t three\n",
      "two \t--<1.0>--\t three\n",
      "two \t--<1.0>--\t four\n",
      "three \t--<1.0>--\t four\n"
     ]
    }
   ],
   "source": [
    "V = [ vert('zero'), vert('one'), vert('two'), \n",
    "      vert('three'), vert('four') ] \n",
    "\n",
    "E = [ edge(V[0],V[1]), edge(V[0],V[2]), edge(V[0],V[3]), \n",
    "      edge(V[1],V[3]),\n",
    "      edge(V[2],V[3]), edge(V[2],V[4]), \n",
    "      edge(V[3],V[4]) ]\n",
    "\n",
    "for edge in E: \n",
    "    print (edge.A.data, '\\t--<%.1f>--\\t' % edge.w, edge.B.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adjacency Matrix\n",
    "\n",
    "- Are two vertices connected?\n",
    "\n",
    "> Encode it in a $(n\\!\\times\\!n)$ **matrix** $A$\n",
    "\n",
    "- The matrix elements\n",
    "\n",
    ">$ a_{ij} = \\left\\{ \\begin{array}{ll}\n",
    "         1 & \\mbox{if $i$ and $j$ are connected}\\\\\n",
    "         0 & \\mbox{otherwise}\\end{array} \\right.  $\n",
    "         \n",
    "- Symmetric matrix\n",
    "         "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### For example\n",
    "\n",
    "- The previous case becomes \n",
    "\n",
    ">$ A = \\left( \\begin{array}{ccc}\n",
    "0 & 1 & 1 & 1 & 0  \\\\\n",
    "1 & 0 & 0 & 1 & 0  \\\\\n",
    "1 & 0 & 0 & 1 & 1  \\\\\n",
    "1 & 1 & 1 & 0 & 1  \\\\\n",
    "0 & 0 & 1 & 1 & 0  \\\\\n",
    "\\end{array} \\right)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spectral Clustering\n",
    "\n",
    "- How to cut the graph into pieces with minimal \"damage\"\n",
    "\n",
    "<img src=https://upload.wikimedia.org/wikipedia/commons/thumb/c/c0/Min_cut_example.svg/330px-Min_cut_example.svg.png align=left width=220>\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graph Laplacian\n",
    "\n",
    "- Degree matrix $D$ is diagonal matrix formed from the sum of all edges\n",
    "\n",
    ">$\\displaystyle d_{ii} = \\sum_j^n a_{ij} $\n",
    "\n",
    "- The graph Laplacian\n",
    "\n",
    ">$ L = D - A$\n",
    "\n",
    "- What's so special abou this?!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Interesting Property\n",
    "\n",
    "- For any $x \\in \\mathbb{R}^n$, the bilinear expression $x^T L\\,x $ has a familiar formula\n",
    "\n",
    ">$\\displaystyle x^T L\\,x = \\sum_{i}^n d_{ii} x_i^2 - \\sum_{i,j}^n  a_{ij}\\,x_i x_j $\n",
    "\n",
    ">$\\displaystyle \\hspace{0.5in} = \\frac{1}{2} \\left\\{ \\sum_{i}^n d_{ii} x_i^2 - 2\\sum_{i,j}^n  a_{ij}\\,x_i x_j  + \\sum_{j}^n d_{jj} x_j^2 \\right\\}$\n",
    "\n",
    ">$\\displaystyle  \\hspace{0.5in} = \\frac{1}{2} \\left\\{ \\sum_{i,j}^n a_{ij} x_i^2 - 2\\sum_{i,j}^n  a_{ij}\\,x_i x_j  + \\sum_{i,j}^n a_{ij} x_j^2 \\right\\}$\n",
    "\n",
    ">$\\displaystyle  \\hspace{0.5in} = \\frac{1}{2}\\sum_{i,j}^n a_{ij}\\,(x_i\\!-\\!x_j)^2 $\n",
    "\n",
    "\n",
    "- Which is\n",
    "\n",
    "\n",
    ">$\\displaystyle x^T L\\,x = \\frac{1}{2}\\sum_{i,j}^n a_{ij}\\,(x_i\\!-\\!x_j)^2 = $ $\\displaystyle \\frac{1}{2}\\sum_{(i,j)\\in{}E} (x_i\\!-\\!x_j)^2$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Minimization\n",
    "\n",
    "- Solution: the smallest eigenvalues of $L$ and corresponding eigenvectors\n",
    "\n",
    "> The 1st eigenvector is the trivial solution <br>\n",
    "> We use the 2nd eigenvector, and so on...\n",
    "\n",
    "- Laplacian eigenmaps\n",
    "\n",
    "> Different similarity matrices to start with<br>\n",
    "> Different normalizations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Weighted Edges\n",
    "\n",
    "- Instead of $A$ we can use a weight matrix $W$\n",
    "\n",
    ">$ L = D - W$ \n",
    "\n",
    "> where $D$ has diagonal elements\n",
    "\n",
    ">$\\displaystyle d_{ii} = \\sum_j w_{ij}$\n",
    "\n",
    "- And the result is again \n",
    "\n",
    ">$\\displaystyle x^T L\\,x = \\frac{1}{2}\\sum_{i,j}^n w_{ij}\\,(x_i\\!-\\!x_j)^2 = $ $\\displaystyle \\frac{1}{2}\\sum_{(i,j)\\in{}E} w_{ij}\\,(x_i\\!-\\!x_j)^2$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Variants\n",
    "\n",
    " - Simple Laplacian\n",
    " \n",
    " >$ L = D-W$\n",
    " \n",
    " - Normalized Laplacian\n",
    " \n",
    " >$ L_N = D^{-1/2}\\,L\\,D^{-1/2} = I -  D^{-1/2}\\,W\\,D^{-1/2}$\n",
    " \n",
    " - Relaxed Laplacian\n",
    " \n",
    " >$ L_{\\rho} = L - \\rho D$\n",
    " \n",
    " - Beltrami, etc..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demo from Scratch\n",
    "\n",
    "0. Simulated dataset with blobs in 2-D\n",
    "0. Build the adjacency matrix based on a distance threshold: $d_{ij}=\\sqrt{(x_i-x_j)^2 + (y_i-y_j)^2} < d_T$\n",
    "0. Calculate the $D$ degree matrix\n",
    "0. Calculate the $L$ graph Laplacian\n",
    "0. Solve the eigenproblem of $L$\n",
    "0. Study the eigenvalues and eigenvectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn import datasets\n",
    "np.random.seed(3)\n",
    "\n",
    "X,_ = datasets.make_blobs(n_samples=1000, centers=2, cluster_std=1.1)\n",
    "\n",
    "plt.figure(); plt.subplot(111,aspect='equal'); \n",
    "plt.scatter(X[:,0], X[:,1], alpha=0.2, edgecolor='none');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 2)\n",
      "(1, 1000, 2)\n",
      "(1000, 1, 2)\n"
     ]
    }
   ],
   "source": [
    "# Reshape data for broadcasting\n",
    "m1 = X[np.newaxis, :, :]\n",
    "m2 = X[:, np.newaxis, :]\n",
    "print (X.shape)\n",
    "print (m1.shape)\n",
    "print (m2.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 1000, 2)\n",
      "(1000, 1000)\n"
     ]
    }
   ],
   "source": [
    "# Pairwise distances\n",
    "r = m1 - m2\n",
    "print (r.shape)\n",
    "r *= r \n",
    "d2 = r.sum(axis=2)\n",
    "print (d2.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Symmetric? True\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# adjacency matrix\n",
    "A = (d2<9)\n",
    "np.fill_diagonal(A,False)\n",
    "A = A.astype(np.float)\n",
    "print ('Symmetric?', np.allclose(A,A.T) )\n",
    "plt.spy(A);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.004893976622995e-15 4.142642020705334 (1000,) (1000, 1000)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dd = A.sum(axis=0)\n",
    "D = np.diag(dd)\n",
    "\n",
    "L = D - A\n",
    "\n",
    "w, v = np.linalg.eigh(L)\n",
    "\n",
    "print (w[0], w[1], w.shape, v.shape)\n",
    "plt.plot(w,'g');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(v[:,1], 'or', alpha=0.2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = np.argsort(v[:,1])\n",
    "plt.plot(v[s,1], 'ro', alpha=0.2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "i,j = np.meshgrid(s,s)\n",
    "plt.spy(A[i,j]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(3) # try other seeds, e.g., 0\n",
    "\n",
    "X, c = datasets.make_circles(n_samples=1000, factor=0.6, noise=0.05)\n",
    "\n",
    "plt.figure(); plt.subplot(111,aspect='equal'); \n",
    "plt.scatter(X[:,0], X[:,1], alpha=0.4, edgecolor='none');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d =  X[np.newaxis,:,:] - X[:,np.newaxis,:]\n",
    "d2 = (d*d).sum(axis=2)\n",
    "A = (d2<0.04).astype(np.float) # distance threshold \n",
    "np.fill_diagonal(A,0); plt.spy(A);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-4.37020359e-15  3.81643875e-02  1.81071962e-01]\n",
      "(3,) (1000, 3)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.linalg import eigh # different solvers\n",
    "from scipy.sparse.linalg import eigsh\n",
    "\n",
    "dd = A.sum(axis=0)\n",
    "D = np.diag(dd)\n",
    "\n",
    "L = D - A\n",
    "\n",
    "w, v = eigsh(L, 3, which='SA', tol=1e-2)\n",
    "\n",
    "print (w[0:4])\n",
    "print (w.shape, v.shape)\n",
    "#plot(w)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(v[:,1], 'x', alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = np.argsort(v[:,1]); plt.plot(v[s,1],'x',alpha=0.1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x216 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(13,3)); \n",
    "\n",
    "plt.subplot(131,aspect='equal'); plt.scatter(X[:,0],X[:,1],c=c,alpha=0.3); \n",
    "plt.colorbar(); plt.title('generated clusters');\n",
    "\n",
    "plt.subplot(132,aspect='equal'); plt.scatter(X[:,0],X[:,1],c=v[:,1],cmap='seismic',alpha=0.3); \n",
    "plt.colorbar(); plt.title('colored by eigenvector');\n",
    "\n",
    "plt.subplot(133,aspect='equal'); plt.scatter(X[:,0],X[:,1],c=(v[:,1]>0),cmap='bwr', alpha=0.3); \n",
    "plt.colorbar(); plt.title('derived clusters');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using weights\n",
    "\n",
    "- Instead of the 0/1 in the adjacency matrix $A$, we use a weight matrix $W$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-3.20895017e-15  5.95166131e-02  7.74030224e-02]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Weight matrix \n",
    "d =  X[np.newaxis,:,:] - X[:,np.newaxis,:]\n",
    "d2 = (d*d).sum(axis=2)\n",
    "\n",
    "W = np.exp(-d2 / 0.016)\n",
    "np.fill_diagonal(W,0)\n",
    "\n",
    "# Laplacian\n",
    "dd = W.sum(axis=0)\n",
    "D = np.diag(dd)\n",
    "L = D - W\n",
    "\n",
    "# eigenproblem\n",
    "w, v = eigsh(L, 3, which='SM')\n",
    "labels = v[:,1] > 0\n",
    "print (w[:4])\n",
    "\n",
    "# plots\n",
    "plt.figure(figsize=(9,4)); plt.subplot(121);\n",
    "\n",
    "s = np.argsort(v[:,1]); plt.plot(v[s,1], 'x', alpha=0.6);\n",
    "plt.subplot(122,aspect='equal')\n",
    "plt.scatter(X[:,0], X[:,1], c=labels, cmap='BrBG', alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HBs+ih5jvd33gPTwuKCLyBdGLquxfJF1E5G9FL0S1V0Sue63r6PHa4Vrks+gJ7//7PBf/i2h3v2PouTqeS52Hh4fHBeLVeP57bj8eHhcBrnvHLDpG+VWnSb8b7bd+N9pX+m+UUje9trX08PDw8PDwOJ+8Gs9/z/Lv4XERoJR6Ej3RbDHuQ98YlFJqG9AsOma0h4eHh4eHx0XKq/H898S/h8elwXJOXSxlhFMXNvLw8PDw8PC49Djn5//pFsBZEiSTSdXX13ehq+HhsSjPP//8jFKq/aVzwttvX6lm0pVF03funjqADjk5x+eUUp97hVW8aPHav8dS51za/5auLlWoVhdNP57JPKyUuuu8Ve4ix2v/Hkudc2n/d3V1qZkztP/nM5nX/Pm/ZMV/X18fO3bsuNDV8PBYFBE58dK5NDNph21P/M6i6YGm36oopa5/BdUZ5dSVHXs4dVXTiwqv/Xssdc6l/ZdF+MKv/Mqi6bd98pPJ81KpSwSv/Xssdc7p+S/Cjv+22FIyIH/yJ6/583/Jin8Pj0sKVcWuH381j/Bt9OrUX0NP+Ml5kao8PJYGdqVC5siRC10NDw+PC0G1CseOvZpHOOfnvyf+PTxeCyQAvr6Xv7vIV4HbgKSIjKBXffUDKKU+CzyInul/FCgBH3llFfbw8Dhf+EIhkuvXX+hqeHh4XAhCIXgF7f/VeP574v8ix6pZKEcRCAUudFU8zoBSNaxXYPlXSv30S6QrYHG/Ao9LErtWQzkOvlDoQlfF4wzYlQpZz/Lvcb6p1cBxtLj0WLpUq3B8aT3/PfF/EVIpVRncP8SeJw9SzpdpSiZYtqqDq2+9klhz9EX5a1WL1Ggaq1anuT1BvDVGZjLL1HAKf8DHslUdRBORC3AmlxESQMxVF7oWHpcA9XKZ1P79jD7+OLVCgVBbG4m+Prrf9CZCLS0vzl+tMjs6il2rEU4mCbe1UZycJD8ygunz0bRqFaGmpgtwJpcPvlCINs/y73E+KJfhwAF44gnIZiGZhL4+uPVWaG19cf5aDUZHoVLRedvaYHoahofB59P7Nje/1mdxeREMwrp1F7oWp+CJ/4uM2WyRp7/5HIe2HcGq1fEFfGQmcxRzRaZHZnjHz9+OP+A/mT87nePH39tJtVxDRHAcG0MEx1H4g36Uozj07BFe9/Zr6FrVeQHP7NLGUVVq9VfV58/jMqCWz3P8m99k/NlnsSsVzGCQ0vg4tXyewtAQGz/2Mfzh8Mn8pZkZjn33u9TLZUQE27YRw8CxbXzBIEopRrdtY9Wdd9KyZs0FPLNLG7tSIedZ/j1eKYUCfOMbsG2b7gQEgzAxAfk8nDgBH/84NLR/Uin47nehWAQRPUpgGGDbel+ldFl33AFr116487rUqdVgYOBC1+IUPPF/galVakwNp6hVajS3J2jpbEZEFs3fv/0os9kiYggtnc2MH5sgM5UnM5klGA4QigS5/WfeRKlQJjWeYcf3dxNridLe0wZAdibPjod2ccNd19LUntB1qFrsfnQ/7T/XhlKKfGoWwzRoSsYxDG8piPOBSBDDt/pCV8NjiWFXq5SGh3HKZYLt7QQ7O8/Y/qe2b6eaTiNAdNkycsePU5qcpDQ5iRmN4ovFuOKDH8QqFpkdH2fw+9/Hn0gQ7+kBoJxKcfTBB1n1trcR7ew8WYcTjz1GorcXRCjNzCCGQbS9HfHa/3nBDIVo8Sz/HgupVrUFvlzWVvlly7RIX4znn9eCXino6tKuJBMT+hWLaUH/0Y9CqQRjY/DDH0IkAr1uIJh0Gr73PbjzTn0s0ML0scegpwdME2ZmdAehvV2/e7xygsEl17nyxP8FJDeTZ9t3n6daqWEYBrZls6yvnc5VHTi2Q7K7lWhThMEDQwzsHcKq1Rk6PErnynZASI2lKRcrNLcnqFVqxFtjDPeP8eQDz1JIzVItVzny/ACJ1hhrtvRh+kwmBiYJhANkprL4Q35q5RqBcACrVufI88c4cWCEulVHKYi1RLnh7VuIt8Qu9KW66FGAfaEr4bGkqKZSjH3nO9jlMmIYKNsm0ttLdPVqlOMQ7urC39JC9sAB0nv34lSrpPv7iaxcCSIUx8epFQpEOjqwikUibW1k+/s5+sADlDMZrHKZie3bCbW20rFlC6bfT+b4cXzhMMXJSXzhMHalgi8cxqnXmdi1i+n9+7EtC4BgIsGau+4ifDpXAo9zQgDzQlfCY2mRTsN3vqOF+pw1vqdHu4fU61qct7VpF589e3RH4cgRLeRFtODP5aCjQ1v2k0ndGfiv/9Jll8uwfbt2Bbr6aj0vYHBQv09MQDSq84RC+th79uhjzcWjTyTgrrt0HTxeOUusI+WJ/wuEUopdj+zD9Jm0L9eNKzOV40dffpKVG3tp7mjCtm2tGoHmziaC0RC5mTzVYgW77pCdzhOOhnAcB9Nv4jiKeGuMHQ/v4fX33sBsVncAhg7n2Lf1EH2berCqdWZG0tQqFlNDM+jHkkIpRSlfpmtNJ4GgdhuazRbZ/vBubvupN2AYBo7jUJ6tICKEY6EzWig9TkWpKlXrVQ316XERoZRi+rHHENMkMmeVn55m8KtfJXHllYQ6OlC2jQPYjkO4sxNfNEplZgarUMCp1ylNTeGPRnFsG8Pnw7ZtYu3tDH7/+6y+7z5qs7PUKxUy/f2Mbt1KctMm6pZFbmgIq1SiMDICIiilQCkq2SzNa9acnDxczeU49tBDbHz/+zFME+U41GZnQYRALOa1/3PArlQoeG4/Ho08/rgW8W77J5WCr31NR4Xp6tKCXGS+IxCN6jy5nHbfmZzU2xxH++7X67oj8OCD8K536Q5BpQL9/bB1K2zcqPMMDc2PDIjoUQSlIJOBNWu0xR+0K9GDD8IHPqBHBBxHlwl6lMFr/2dPraY7XksIT/xfIEr5EoX0LEnXHceu2xzfe4JEWxyrVsdxbAqZWfqfO8Yb33PjSUG+dssqDj7TT7K3jfJsBZ/PpFKskEgmaO5I4DiOHrrPl3j22zsYOjhKqVAGFINKi/ap4RTZ6TzX3bGZcCzIxOAUE4NTlPJl2ntaTx4r1hxlZjTN9EiakRfGeOLrzzByZAzTNOjb1MvbP/pW1m7xJrGeFRLE9Hk+1R6aeqFAdWaG8HK9AruybXJ79hBsacGpVLTQzmaZ3raN7ne9C9MV5Mlrr2V861bCPT1Yhw9jmCb1cplgayuRZFI/oEWozc5y9FvfIn3oELV8HoDpgwfxx2IURkYoTU2x8o47CDY1kR0cJDswQCWbJd7Tc1L8B5uaKIyOUhgdJX30KPu+/nVS/f2IYdC+aRPXfuQjdF933YW5gBcZZihEs+f24zFHsQhTU+C2f2wbdu/WVvpqVbfjXE77499773w0n2uvhSefhBUr4PBhbU0ulbR1vrV1XswXi/Ctb8GhQ1rEK6XTolEYGdHHvv12PdH3xAk9YpBO647I3JyBRELnHRnRwvWrX50/5hVXwEc+AjfccEEu30VHMKg7VkuI8yL+ReQLwD3AlFLqqtOkC/A36DikJeDDSqmd5+PYFxOO45CbzqOUwvSbc0Z9AEr5MrZlY9dtBvYPkU8VqJaqpMfTHNp2hBvuug7DEDr7OkhPZHEcm47eNoYPj9LU3sTKjT30XbWCozuP09qRYP9Th8hNF0gk41RKFRxbkR5PE2mK0NQex6paHPrxEUy/D5/PAFH0P3eUSqnGzXdfS8syN2qIUux+bB+7HtnP1NAU4XgYHBg8OMLX//xbfPB//CQrr+w97fmC7tQM948yeHAEHMWKK3tYceVyfP7Lq9+pVI2ytbQm/JwvvPZ/dijHoTYzg3IcDHeyrVIKEcHK53EsS3cCDhyglslQL5WoTEyQfvZZun7iJxDTJL5iBaW1a7FrNeKrVpHZv59QezstGzfSdvXVTO/aRaSjg9GtWylNTBBua8OancWxbYpjYwQTCcLt7dQrFcafew7x+zFME0QYe+456pUKa+6+m1hX18l6Dz7xBAOPPEJ6YIBgPA7AzMGDPP0Xf8Gb/uiP6LzqRT/5SRzbZqa/n+n9+1FKkdywgfZNmzD9/kX3uRRxKhVmL1HLv9f+zxLH0f70tq398Ocs7iJ6Im+tpr8fPKij+FQqMD4OzzwD73yntr739MCGDdpdZ/Vq2LtXW+qvuAI2b9bfOzu1pX98XLsCzc7qY46OQlOTzl+paJcgnw/8fi3od+zQ29/xjvnRCBFd1iOP6EWq3PZPfz/85V/CH/4hXHPN4uds29pVaf9+ff7r18OmTRC4zEKT12q6k7WEOF8K7EvAZ4B/XST9HcA693UT8A/u+2VDPlVg+8O7yc8USI+nKRUqmEETq2rRvWYZCDh1h/HjE3SvWUaiLU4tGiQQDpCdypGdytG6rBnDEDpWJOle20n/9mMEggHqVp2BfScYPz7JxjesJzORY7h/lOx0HqfuYFXrKMch1hqjORnHH/Jjmj6yUzlSoyn8QT+OAqtS48TBYcr5Enf+3G2EokFqVYtcukA+lSeSiBAMBwFwHEXdtnnueztpSiaolWtEm6OnhAxVSrH78QOM9I+RSMYRYN9Th5gZTXHDXddeVm4DIkH8l67l/0t47f+M1NJpJr//fWrT01QnJ7FyOSQUwimXia1bp91vbJvisWNEVq0i0NaGLxrFDIWozcxQmZoi3NWFGAaJnh4ia9YwtWMHpt+PU6uR3reP/PHjdN58M6WZGVLbtlGansap17GrVRzHIdjcTKitDV8kgvj9FKenKYyOYrhRP+rlMtOHDlHJ5dj8oQ8RiMepl8sUUylK09OEEgn8Ed2+lW2jbJsj3/0usc5O6uUyoeZmgonEKed94oknmD50SI9KAMPPPENuZIT1d999WU0mNkMhmi5dy/+X8Nr/mclk4OGHtcV9clKL+1BIW+g3bNDi23G0wF6xQov2Wk1b5GdmtI/+8uU6X1eXnjz6/PO6Q2BZ2ld/YABe/3rtGrR9uw7nadvzIwnNzXqEIBrV+6VS2vUnqJ/pFIta1Ody8KEP6fzlsh4RmJrSwj/qhhJ3HP3+3e9Cd7fO19SkX4089ZQW/smkrvuzz+oJzvfcs+R84F9VLlXLv1LqSRHpO0OW+4B/dRci2CYizSLS9VLLD18q2HWb5x7ciVW3mRqeoVKq4vOZ5CbypMezDB4YJhAJkp5MYxjGSQFt+kyiTRFMv4+JgUmsWp3UaIrmjgQTx6dYvraLnnXd7PzRHqaGZkiPZ2lqT+DUbcaPTVGrWviDPhzbQSlFrWIhYhAMBxk+PEa5UKZu25gBH8p2CEVDBIJ+pkfS7HniABuuX0Nbdytb/2sbY8cmiTaFaWpNEE6EEVPAURx89gj+UADTZ6AcxZotfVx583oMwyA3k2f0hXHae9tOCv2OFdrNKD2Rpa3rxTHJL1UcVaVUH7zQ1XhV8Nr/mVG2zeRDD+FUq5RHRrCLRSQQoDY5SWVsjNyBA/hiMSoTEygR/G7MbfH7CSQSSCDA7LFjOJZFaWyMQGsrs4ODNK1ZQ8v69Zz44Q/JDw3hjI0RSiZxDIPc0aMnQ4E6tg1KYVeriGHgi0aZOXSI2uwstmVhBAIoxyEQjeILhSiMjnLiscfouvFGYj09jDzwAOljxwjE44Tb2ggmEohp4jgOY9u3E4hGMf1+lFJ0XHUVK265BTEMSqkUM4cPk+jtPdn+/ZEI+aEhCuPjJOZcHi4DnEqF4iVq+ffa/0vgOPDQQ1ogj45qK38goAX92Jh2zYnFtMBWaj5Wv2lqMR0K6U6AUtoFp6VFu+H09elOwGOPaatyrabFfSCgOxGlkhadbvunUtGCOxrVxywUdMdhbhRuLlrQ+Lgu86ab9AjAN78JR4/q9GRSuwOZpi535074ylf0fo6jrfq33qqPk8noUYwVK+bnB/T2avE/NjY/unA5UKvpuRZLiNfK92I5MNzwfcTddsk0ftu2GTs2ydgL44hpsPLKHjpWJBERMpNZioUyMyMpju4awDQNwvEw5dkKM6Npirmia8G3MEyDqmtFT/a0cv3btjA5NMOxvSeYPDFNe0+ScrHK0KFRrrvzGvY+tp/BAyPEW2NYVYsXdh4nP12gXrdRQLVcIxgOUqtUyc8U8Pl9zIylqZaqWK6bUWW2SqI1RjAaJN4coVqOUpcBAAAgAElEQVSqkUjGWXvtavY9dRBfwEc4GqRWqTM9mqJNteI4itlshkRLjNlckWKmRDgRZu8TB0kkE3St6iA7lcO26lhV65QViEUMZrPFy0r8iwQJXL6hPi/59q9sm9LAAKX+fsQ0iV5xBaGVKxERqlNT1HM5ymNjZHftwvD58EWjWKUS5ZERLNcKqGo1MAycchl/UxPh3l663vY2iuPjpPbupTAyQrS7G6dSIdvfT/fb3sboE0+Q3r+fUFsbdqXC9M6dlFMp7UIkQr1cxh8KUbcsKqkU4vNRGB/HKpWwLQunXseanSXc2oovGiXU3EwtECDc3k7Xtdcy9MwziN+PPxbDdhcLw3VXKmUyhFtaqORyVLJZAvE4la1biXZ00LJ6NcWpKWzLOhlRaA4xTSrZ7GUl/o1QiMSla/l/KS759o/jaMt7f78Wuhs2aHFuGFrUZ7Pa4j9nrY/FtDgfHdUiORzWFnoR/Z5IaEv/7bfr/Xft0nm7unT69u06XOfWrXquQFub3r5nj7bUz5U1F82nVtPH8ft1PQoFPfnXsrTFv7VVdwqam3W9Ojrguuv0nAPT1Fb/alXXYc7qn8noehYKWtDHYnrUoL1dRyyamtLHqFR0HeY6AD6fHnW4nMR/IKD/D0uIJeV4LSK/APwCwIoVKy5wbc4ex3HY9cg+Ro6ME2uJohzFs0d3sOH6NVx583qKuRL9z73ACzsHsC2bQDhAMV9m9IVxAuEAseYIhmEQMoJkp3KE4xFizRESLTEK6QL9z71AS2cT665bTdfqTjJTWXY/sp/ybIXRoxO0dbfgD/hxbJtywaJaqWIrh1DIj2XVqRSrgG6w0USISDxCPlUglypg+g38AR++oB9DhEqxRlNHgtlskW999iHK+QqF9CyZiSzFQgXTbzA9kiLWEtXWRKvOiQMjtPe2UUjNUszO8v1/foTW7lYObTvMyOEJOvra6FrVxYYb1hCOhXQYw2jwwv5orzGOqlG0lpbP31LjYm3/SinSjz1G8fBh/M3NWhgfPUriuutofsMbsPJ50tu3k3v+eZxaDTMcph4KkT9yBDMUwtfaqkN9xmJUJyfxJxIEW1sJNDdTzWSYfvZZgu3ttG3ZQnzNGiqpFKOPPMJgoUBmYIBQRwe+cBhl29iFAvVaDWwbfziMbVnUS6WT84sCTU0EEgnKqRTlVArbNDGDQcxAADEMHTK0vZ1qLseOz36WSj5PJZtldnycaj6P4feTGxnRKwkrharVmNq/n6aVK6lkMpQzGcqf/zzxnh7Gtm1j+tAhmleupGX1arpvuIFAPK5HGWKXV/jgS9nyf764WNs/SunVdg8c0OJZKW1537IF3vhG7XO/Y4cW/tWqFvr5PLzwghbjyeT8ZNzJSZ3e2qot/IWC9vlva9PlrVmjRfejj+oyBge1UA+HtSjP57XYdhwtuC1Li/m5eiYSuo4zM7qTMOfz7/drkV8s6mPl8/C5z+lOSz6vRwPyeZ1nZGT+PNvaYN8+LWyzWS3+P/95WLVKu/gcPAgrV+r5Cddfr49fr8/PHbhcqNV0B2kJ8VqJ/1GgcVZoj7vtFJRSnwM+B3D99derhelLlcxkjrGjEyct/QCReJijuwZYsbGHkSMTZKcKBMIBVEgRCPpJjWWoVWqE40GsikUoGqRu2Ti2w/ixcaJNq9nz+AHae5NEEmHibXGO7DjG4R1HcSwbEWGkf5zSbAnDMGjtbqZWtghGA5gZExxo601iVS1t5S/X8If8JFoTiCkYPpNlqzqYzRapFmtU8iVUNIQvoKgWKxzY2k9upoAYUK9ZCAbR5gilXAmrUiMSDxNvjZJoi1NIzxKOhbDKNQ4+9wLFXJFwJIwShekzGT48zmymSD6dZ+PN60m0xWnrvrxihyugzmXk43gql3T7r01OUjpyhNCKFSfbvy+RoLBnD9GNGykeO0ZtchIzFMIIBjGDQcqTkziVCmYshqpUkEhEP6gdh9ILL+BvamL6yScJ9fTgi8cJJZNkdu5kZscOHMsC0yR/5Aj1YpGqUsjy5VjlMr5oFMlmQSniPT3Y1SpWqYRVqRAOhQi3tSE+H4bPR/OqVZSzWWqlElY+jxmLYQYCWKUSw08/TXF6GkMEy7JAhFBTE5VCAbtSIRCPE2ppIdzWRiWbJRiPY9dqjP74xxTTaUKxGAowfT6mDx+mnMlQnJlhxS23EG5puays/nDZx/m/pNs/09PajabRvSWR0JNvN27ULjNTU1qMBwLaRWZqSlvlIxEt1hvaP8eOaVG9dau2/kej2pq+a5e2+NfrWoQfOaLFulLa775U0uXk8/NrBsxZ9stlfeyODr2vzzcv2ItF3ckA3Qkol+Hpp3UHQUQLVxF9TrOzOj0W0x2UZFKXkU7rY23frs8tkdD18vn0tclm9XW65RbdcehdPEjIJYmIvu5LiNdK/H8b+FUR+Rp6ok/uUvL3y07lMH3mKRNYDdMAEdLjGdITadpXtDGbL5KZyFKr1KgUq9Qtm1K+TLwlRjFfxuc3Mf0mwUiAWkW7yrT3tnFk+zEG0icopGYpFcosX9cF6IhBwVCQ3EyeQMhHZ18H2ckcAPHmKFbVwjQE0zRw/D5au1tZtipJeiqP329SzJUxgUQyRilfRoCmthjlYgXHcWhKxshO5rBth0gi7HZSQiTa4kSbohRzszgOJJe3cWz3IFatzvRwClAUc/p8/CE/iZY4tu0wdHCEzW+8khvvvpaxYxMc3zuEVa2xfH03q69ecXIy8aWISJCQ/7INi3pJt38rlULMU9v/3GTW2sQEleFhIn19WLkctclJquUy9XIZx7KoFwoYLS3U83nE70d8PsxwGOX660d7e6ns2EFu3z6qqRTVfJ7ounUYIph+P0Y4TC2dxgiFiK9aRWlqChEh2NKCXa1iGAamaWL7fMSXLSOxejWlqSl8wSDVXA4RIdreTiWbRQyDUDKJVSzi2DbRZJLi1BTKtgkmEtSrVYKRCGZzM8GWFmq5HHnbpnnlSiZ278axbbInTiBAIZfDDATwhUKEW1tRts3M4cP0vvGNrLv7bjLHjjG5dy92tUrr2rV0bN58cjLxpYgRChG/fN1+Lun2TzqtxV1jAAtDP/+ZnNT++KtWaQE8MaHFfrmsxfLsrBbc+fy8BT4S0SMEfr+2mm/frq3r6bS2rK9ZM2+xj0T09mBQW9enpvTx50KGGoZ+mabuIKxeresQCumyQHcIMpn5/eZGDpLJededpibdCYhE9OfmZl33kRHdidi9W+9z3F3LJp+f7+i0tuoy+vvhDW/Qk30HB3XnqFzW57N58/xk4kuRQED/lkuI8xXq86vAbUBSREaAPwb8AEqpzwIPosN8HUWH+vrI+TjuUiEUDWLbzou2K6XwB/2AkGiLIyiUo7AtG3/AR61S00PttTr1Wp1S3aFWqRJrjlLMlSjnSpQLFVp7WhnYM0g4EaKYK2FbNsFokOb2BL6An6nhFMFIgHAszOgLE4SjIbrXLWN6eIb8zCx1q060OUJyeQt1y6EyW6F9ZTuZiSx1y0bZDvf80tsoF8pUKzWef3gP1XKNSCyM7SiU0tZ/q1pDjADheJzcTI5AJEh+Okcxqxf+KM9WMAxBRKjXbJy6jeP4mM3MsmxVO7GeGO0rkgzuH+bI88dpSibwhwIc2znA5OAUb3z3TZdsCFDHqVGoLa0JP+eLy739G+Ewyjl9+xc3kk6gvR0RQTkOtmUhpgmGgRgGdr2uY/vX69qq3tSElc9jZbNY+Tyh5cvJ7t2LLx6nms2CZWHEYsTb2oiFQhSGhzEjEfyxGLWjRzHDYVo3b6Y0MkJ1ZgZqNSLNzUS7u1G2TS2fJ7FihfbJr1Zx6nW2fPzjWG6nZOCHP8QulzFjMRzbRpTCqdWwXN/9SFMTpZkZApEI5VSKSj6PANbsLIYrNpxqFce29cKA6TRNK1cS7+2lqaeHmUOHGN++XUceCoWY3LuX7OAgV7znPZiXaAhAValQfgVuPyJyFzpcpgl8Xin16QXpQXS0ndcBKeB9SqnBhvQVwEHgE0qp//myK3L6ul3W7f9kDP4zpbW2aks4aNHvtn8MQwvjclmL5zmreqGgOwvZrLbg796tt2cyOn84rK3n4bB2JwkGtSvN8eP6mFddpf3z3fZPU9P8wmH5vC5zenr+uB/7mC63WIQf/ECPIsRi85OFq1XdKQiHdadgZkaL9XRadwIcZ36lYhG939xk4kxGj4r09uqRjCNH9FyCtjZd1337dGfgPe+Zjzx0qWFZ+vdYQpyvaD8//RLpCviV83GspYbjPvSzUzlK+RLL13Zh+k1y03ma2xN0rEgST8bZ+8QBfH4/4XiYpmSczGSWWs2PYzvkUwUc2wEFZsBkNlvEturYdUdH1jGEYChAvVrHUYp8usAVazsJhIJ0r+3EH/RjmEIw7OeN992Ig2LHw7upWw4ty5po626llC+TnynQ3JGgc2UHU0PT+AM++q7qpaWzmS1v2cSeRw9wZMcx/QB3HKyqhc80wFE4dUeHGWyLM5spYfpMlvV1kBpJUS3V9CiDz9Sxyx0H8Sl0/FKFrRxqFYt6Vbs3HdszSHtvEsPQlpK25a1Mj6SYPDHN8rVdZ7jaFy+GBAhfopb/y7n9K8fRwnd6mnouR2TdOsTvx5qZIdDWRnjlSoKdnaSeeOLkxNlQMkllYgK7Xod6Xcf+r9dBKR0FKJtF1evU63X8iYQeDQiFsGs1HKWwUilia9bgi0aJrlqlI/qI4ItGWX3vvWAYDD38MFKrEensJNbdjVUoUE+n8be307R6NfkTJzBNk7YtW4gtW0bfW9/K8NatDO7Y4Z6YwrEsTL8f23Gw63UM09SjBJkMpmnS1NdHfmSEerlMvVLB8PkwlcJxHAyfT68d7jg4SlGvVLArFYKJBBO7dhHv6dEdICDW1UVhZITswABtGzZcsN/y1cQIhYi9TMu/iJjA3wF3oifLbheRbyulDjZk+3kgo5RaKyLvB/4ceF9D+l8BD72sCrwEl3P7Pzn5dWZGC/V167SVd2ZG++yvWKEF7+OPa2E7588/MaEFoWXpvJaly5kbBRga0mI8FtPlhcPzedJpbS2PxbTVPRyeXzvgnnt0x+Lhh7Xo7+zUon92dt7Hf80aLbYNQ88j6OqC227T8xJ+/GO9XSl9vLmVg21blzvn5jPnNjQyojsFc3kDAb3v3HVRSu8/13loatJzH3p65t1gurp0OcePw5VXvmY/3WtKIKD/C0uIS9PM+hpRt+rseHg3oy+MY9fqHNh5nF2P7Kfvql423ryeK25ax7f//mF2P7qfgX1DBMJ+ivkSqVKVYCTEqqt6AYPjewYAg1hzlFA8jM80sGoWtVqd/HSeYCRArDWOsm1C8RAiQrInSSFdwB/ws/761dz4juuIt8aIJiIUsnribSFTxLEdgqEgG1+/gZmRFJPDM7S2RVnWlyTZkyTRGqOQnsWqWNSqNULuBORCZlYvRhYwMfyGdv2JhAlFwuSn8yR7kwRDAYKRIP6gj9x0AcNn4A/6qJSqGHUHu25jVRWBcICZkTT+gA/H0daPOeE/RyDoJzudZ/naLqyaxeCBYYYOjoAIfZt66dvUi+lbWj5z54KtauQuUcv/5Yqq18n84Ad6IqdlUdi5k8yjjxLduJHEzTfT9IY3MPwP/0D6sceY3bMHCYep5/NUx8Ywo1FaNm1CGQbZ3btxlMLX0oI/HscwDJxaDadWozI9jS8WI+i6zvhiMUQpIr29WOk0vmCQjte9juV33UUomSSQSFDN5bAzGUqZDKpexwyH6br5ZooTE6QGBwklEvS+6U3Ely/XPvuZDE61il2t4guHCbW0UMlmcWwbn9+vRycch0AkQiASoTg1RcJdCTgQi+ELhylNTYHPhxEMUi8Wwe28qGoVfyhEYWwMX4NVXxb4v/rCYYpTU7Rt2IBtWUzv30/qoNa2yU2bSF7kC4M5lQqVl2/5vxE4qpQ6DuC6z9yHtuTPcR/wCffzfwKfERFRSikReRcwABRfbgU8TkO9Dj/6kfZpr9V02MtHH9V+/jfeqCf7/uM/6rCZu3drK3ehoCfPhsM6LKbPp335ldKdhVhsPnZ/tao7BomETrNtbW13HC0kMxktKq+5Bt7+du2+M+eXn83qiDr1uj7uzTdrS//x43qE4NZbdackmdTuP3PHC4W0QE+n9fHmFgCzbV3naFSXs3y5zhuL6e1TU7regcD8CMBcmcGgDu3p8+k8Sr3Y/z0S0R2iK6+cX7fgwAGdtnGjHsm4iNs/tdqlafm/XBk5Mkb/jmPkpvJMjaaYTc1SrdQYH5ika3Un//7J/6RSrJJc3spstsjU8AzlfJlEMkEkHqZaqpNoj9O6rIXcdJ5oc5RgyK9X/y0oookIpt/EMA1EINmbxB/yoWxFZiKLVbUIx0Ncd8dmOnqTJ+tVLVbpWNHOlTdvwK7bGIaBGEIg5MfwGazdsupk6E3HUdQqNZo7mmhqS7D++jXseuwAseYohfQsfr8PTCG5vI1AwIeDYsON62jubKYwU6BvUy/XvHkjD37hEXymyfRIGrtuI0CtonAcRTgaJNYSZfNtmzjw9GHGB6YYOjRKMVciEg/T0deOYQihSBDHcdjx8B6mR1I0JeMoBfufPkxmMsvr7rzmol0YzJAg0UvU8n+5Uj56lPxzz2FNT1MbGcGZmYFKherAAPW1axn81Keo53IEu7sJZTJUhoYgl8PX1oY/kdAhPZNJQl1dWJOTBBMJjHAYw+/HKhSIJBIYfr8WyiJEenowQiEc26YyOanj+MdiLL/zTmINViW7VCK+YgWdN9+MU68jrntRIBZDidC2ZcvJ0JvKXdwrsmwZoaYmum+4gcFHHyXU0kIplcLw+TACAVp6ejCDQZTjsPymm4h0dlKZmSG5YQOr7riDnZ//PGIYzI6Ooup1lAhGpQK2TSAaJdTURN9ttzHyzDNkXniBmcOHqWYyBGIxmtesQYDAli0opRj8wQ/IDQ2dXBhs9JlnmB0bY/U73nHRtn8zFCL68n3+Txcqc+EiWSfzKKXqIpID2kSkAvwuetTgt15uBTxOw/Hj2lI+NTXvYlOp6Am7a9fCpz+tRXR3t34fHtZCu61Ni/RSSU/k7erSwjeR0ELa79edhFhsPgqPiC4nFtPieGpK7x+NwtvedmoYyWJRW9ZvvFGL/zn3okRCi/hrr9ViG7QQn53VdYhEdCfhkUd0ZyOVmp9b0Ns7H8v/xhth2TJ9vhs26HCkX/yiLm90VB9zrmzb1nVuboa3vEVHAHrhhflJwLGYng9hmlrgK6WPf/y4vjag9xkb0ysPX6wLg12qPv+XK0d3DTCw9wSVYpWp4RnEMDB9BicOjGAGTMb6x7nmtk34gn7suk04GqQyW9GuAgZUChXKAUP7BpuGngg8W8bn99PckaC5s4mVm3oJBHwsW9nO8X1DOHXFqs0rCQT9XPOWTSxfu0y76TQQjoVwHB2Lu9FabtsO192+mdEj4yB6UrJVrbNq80o6V7Zj+k16NiynY0U7YwOTpMYyzKaLrLp6Be/42FsJRUMceKafH/7L4/j9JutvWEPP+m58fpMtb95EejIHIowcncDwOQTCQcLxMB09bazYuJzla7s4tK2fA1sPE4gEiDVFsCyb3Y/vJxILI8DYsQlmRtN09CZJjadJjWfx+QxmM0XWbFlFS8eCFQQvEmxVI1tbWqG+PF4ZhT17KO3di1MsUhkeRokgfj+VgwfJBQLMHjlC8223YYRC2gIfiWgBrZS2phcKiN+PYduYpgnVKk6xiPL78Xd0EOjooPnqqzECAWJ9fWT27gXbpvmqqzDCYTpuvZXmK6540Uq5vmgU5eiF/Qzf/C3esSx6b7+d9LFjkE4jpoldq5G86iqaVq7EDAZpXbaMpt5eMsePUxgfp5JO07ZxI9f+4i8SjMUYefZZdn3xi/h8Prqvv5629esxAwH6bruN4sQEpmkyc+QIpt+vJx7HYjT19pLcsIG2desY376d0W3b8AcCBFpbsatVhp94Qk/2VYrc8eMURkb0nITxcQpjY5g+H+VUis7rriO2bNlr/TOfF87C8p8UkR0N3z/nRr95pXwC+Gul1OzF2nFasuzdq1/FonbTEdFiub9fC+n+fu1OEwrNh96c+2wY84t9zbnUVKu6LJ9Pu+u0t8PVV2vR3denY/jXanpbOKxHFq688sWCOBqdd71paP9YFtxxhxbWmYw+Zq2mRyBWrdJlLlumhf6xY3qEIpPRrky//Mu68/Dss1ro+3zwutdp8R8MwpvfrPObpo5u5DjzIwUrVsD69XDFFXry8rPP6vNuadF1evJJfV1sW0+OHh7WQnluETTD0J2na6/VHaCLEcvS57KE8MT/K+CF54+TGstgmAalQhnT5yMU0avdThybYnokzcC+Ifwhv/afD/oxfSaGz8AwTZat7sSxbWq1OrWKRawpij/op5QvYdVsVl6xnDfffzOOrZjNznLLu2/CF/Bh+kya2xOLusFEm6L0rO9ipH+MlmXNGKZJfiZPJBZi0y1XsP76NUwOTmPV6rT3tNLS2YyIsGbLKg7/+AVau5pZs7mP7tXLKGaL3Hr/zTS3a9F9/Z3X0NyeYP/Ww/gDPorZIrbt8Jb3v5FYS5TDzx1l39aDHN89hMIBhKZkHNtWHHzmMAP7h6nXbeLhEOnxLLnpPLHWOBhw4vAow0fGyUxmiTZFcGxFc3uCYr1OejTN/mcOc+u7Ls5V4RWCrS5Sq4XHaSnt2IE1OgqBALYbA19CIcTnozw4SG1khOLevRjhMFQqGMGgjuhjmohpEl61ChwHZVk4lQr+5mYkEMApFKBaJb5hAyt+8idxlKKWTrP8Xe/CCAQQn49QMomxyDB4IJGg+YoryBw8SKSrSy+qlUrhi0bpuuUWOm64gfzgIPVajfjy5USXLUNE6LzuOkaffppYVxed11xDy5o1VDIZNtx/P9GODgBW3X47kY4OTjz5JKbfr12MLItN999PtL2d0eeeY+jpp5nYufPkJOioa8Eb3baN6f37sWs1wi0tlCYmKE9NEWxuJphIkDp8mOyxYxTGxoi0tODYNpH2dmr1OoWREUaeeoor3vve1+bHPc+cRajPGaXU9YuknU2ozLk8IyLiA5rQE39vAu4Xkb8AmgFHRCpKqc+c6zl4LGDnTi1UQ6H5aD2hkBbGAwPaj33vXi2C5xbbmrPk+3xacMP8hN+mJi2k58JpbtigJ8GKaBF+77063TR1x2AxN5hYTLvK7NunxfzcolqhkI62c9NN2ue/UtHuO11d+hivex089ZT+vnmznhuQTus6dHbqst/6Vl3mY4/p4+dyuv7vfrfe/txzOkzo88/rDohS2rVIKT3Jd98+3eFoadGRkKan9XnH43o0YO66tbVpwdzRocsfGdF1e9/7Tn/OSx2RJTdq4Yn/l0luJk/ddrBqFsV8mWqpRigCs7k64UgQEBAw/T5C0TDTQylaultQtkOyt42WzhbCsSDHdg+yfE0XgUAA27apVWrEWmPEmqOs3rKKtu5WDMOgc2X7OdVv85s2EklEGNw3RN2q0712GRtuWEsg6CcQ9LN684uHoNZdtwrDFI7uGsCu2cRao9z8zutPCv851m5ZRceKJNPDM4DQ3ttGolUv2vH6e5uZzRbZ9IYrmToxxciRCZraE0wMTrH1B3uoW3WsWp1yvoRdd4g2R7U7kiEMHxrFMA2K2SKhWJBQNEx5tkzdsinmijzxtWfoXd9N38aLL0awIQFigaU14cfj5WOl03pRrXodlUqdjLFdr1YxolEMpVAiEAjoWP5DQwSWLdORf7q7CXR14YvHKezaRXTNGoxAAMeN+mO0tBBsbiZxzTWEli9HDIPoOU4WW3brrfgTCdJ79uBYFvHVq+m48UZ8oRC+UIj2zZtftE/nNdqtbnLnTuxajWBzM2vf+c6Twv9kvquvJtHTQ25oCOU4NK1YQaStDYAN995LNZul96abyA8PM3P4MJGODvJDQ/Q/8AC2G9HIKhRQ9TrBpib84TBimmTc1ZGr2SzVmRl8sRi12VmUZVHNZun/j/+gbcOG09Z9qWO8Mref7cA6EVmFFvnvBz6wIM+3gQ8BzwL3A4+6E21vncsgIp8AZj3hfx7IZrWItW1t8Z6LsV+tzoesNAwtvGMx3Uno7NQW8eXLtVBOJLS//+rV2hJuWVqQJxJa/F511fzE2HOdLHrLLfq4u3frcvv6tOifc/e5+uoX7zO37fnn5yME3XOPrmsjGzfqDsLQkD6f3l4t8EF3UHI5uOEGbek+dEh3VEZH4YEH5js6s7O6Xv8/e28eY8d5nvn+vlrP2vveZJPNRRKl5iKJ1GpJli0rdrzIi7Lc3GQwFwYGmEHuH4ObYDLATRDMXwNkMhcZJEiQsQ3HmdzkJlYsy5Ys2ZYlWbYWkpK4syku3WTv29n6bLV+94/3HB5qscVVJC0+QKNPV9Wp+qpO16nnfb/nfd72dglKmjMGSsn7V1bkOlYqsl2hAN/+tgREO3Zc2LW4FuA411xvgxvk/zwQhRErsznKxSrZzgxdgx1UilUSGbH4jMIIrWO8uk8UxSil6FvfS7mYplwoY1oGbibB3PE5br57M/d+ficLpxc5Mz5Lz3AnN925kbaeNo6/eYpKsYppGNhJm12fuf09kp7zhWVb3LJrEzfv3CjT/+exH8Mw2Hz7BjZsWyd2pK79CzW2bV3Zs4T/HdcqiAi8ANux6F3bw/zkEsWlEifePEm5WCGRcokCcRLSWlOv+bjndDl2EjbKMKlXfIJ6yOypCgPre+ka6CSZdnnlO7tp68rQNdB5UdflaiHSPjnv2ir4uYHzg44igpkZomIRs6MDe2hIXicSGEEgTbC0Jm5o3GPTxB0dxcnnCfN5TMvCaGujdvIkbbt20fPYY9SmpykfPow7NET7HXfg9PVRevNNgkJB3H0ch4HPfvY9kp7zhWFZ9N55Jz133AvptSgAACAASURBVCEuQuexH2UY9O/YQe/WreL047q/8P5PdnaS7HzvPRgFAWGtRrK7m+zateQnJqguLzP/xhvUi0XsVAodhgRN56JqFTuRINEhM5SW66IsC79SIfI8iidP0j4yQrq/H7e9nRNPPUWyp4fMdTb9r+t1/Iss+G1o+H8feA6ZQPiG1vqwUuq/AHu11k8BXwf+Xil1AsghAcINXA5EkRDZQkHI6vCwENRmB93G/U/j/scwhGy3t8t7HEcy2ydOCCn+0pckGDh8WEj0HXcIwX7zzZYcx3Hg85+/+MZQpin7vf12Gdv5fI8YhhQPj43JObnuO3sXnIvOTvl5N8JQAqHOTrlOExNSG7B3r1yLVEq2KZVkXNWqXMdqVY7VnB0plyUAOXVKJEB9fXI9v/tdCTTWrLm463K14PsSJF5DuEH+PwD1qsdr399LaXkVwzKJw4juoS7Wb13LxP4zpLMpvKpPHGr8uoehFJ7yKC2X2LB1LYEfsXh6iSiO6ehtY/Mdo1RLNTIdaT71ew/RNdjBgRcOk0gn2P7QbQReQG4uz+Y7N5Bpu/SmN0qpCy6SM01TNMgXAdu1SbelqFc9EimXW+7ezM+f3EM5XyGZTmCYBm7SxqtpwjAiDkKMjAMobMeiVvGIo5hkxqWwKLMDQT1kcEM/1VKVdEeKUwfOXHfk31QObfaNzP/1hrhWo/j004SLi1J4G0VYAwO4t99O7cABzLY24nqdKIrk4d9o9hMsLpLZtg0dhtQnJiCKSPT0kLnzTqLVVZy2Ntb87u/irllD7ic/wUqn6X7oIWLPw5ubI7tjB05HxyWPX727+dB5wDBNjIu8/03HIdHZiV8u42QyDN99N28/9RTVXA47lcK0LHE9qtUkUPJ9VDqNUkq6CzcajDnZLLWlJeIwJPJ9OjZswF9dxe3oYHH//uuO/KtEgsQlNPnSWj+D+OWfu+xPznldB36pJkpr/acXPYCPKup1eOYZ0Z837n/6+mDnTpGwtLXJNmEov5s+90tLrQLWkyclQ97dLdKaUkmCgd/5HQkSfvQjIcUPPigzB3NzkoXv6rr08V/E/Y9pXnzQYdtCzldX5Rzvugu+//1WXwDTbMmgoqjVOExrIf61Wuv6LC+3ZgruuEP22d0tsyXXG/l3nGtuzDfI//sgjmNyc3mWZ3OcOTrDaq7M0MbW1NfyTI5yocLKbA7btUmmE5SsVYxYrC7dlAOmQWGxxM27NrF5xyil3CqJTIL+dX1suXszyWyCtq4scRyzmitz+tAUGOKLP7RpgJt2bryKV+DioZTitvtv4fWn3yCoB7gpB8c1yfa20dnXztLpZQzTbLgMBRiWSSqTol6uUSlWiaMYy7FAS3Mx27WolWssTa0wONpHW08b5UL5ap/mBSOMA3L+tVXwcwPvD6014fw8wfQ09WPHCJeWcDdtOrs+mJkh+NnP8GdmULaNlU4TmaZo3B1HNP6mSbSwQHbXLtq2bSPI57GSSTLr1pG5917MTAanuxsdx4T5PKsHDkgTMK1JbthAx113XcUrcPFQSrHm/vs5/r3vEXkedjqN4zhkurtJ9/WxOjUl1woIczmUZeE05D1esYiOY0zHEbvQOMZyXYJymdKZM7SPjpLq78drdiO9jqDrdcJLaPJ1Ax8itBayPz0tDanm56VgtYnZWfjZz2S9ZQmpteSZhW0LuTVN0bTv2iVEPp+XTPrIiOjus1khsnEs6/bvl33HsQQE99xzVU79suCee+Cpp4TYp9NCfHt75XxnZlqBRT7fkkVVq0Lu41iuYeP+x3VbBdXr14t0qtmZ+HpCEMj/0TWEG+T/XSgXKvz0X17h4M+OEnghC5NLDG7op1yo0D3YiZNw8Gs+P/rWi9iuTeCFLE0vYxiKrkEpUusZ7sH3AwIvwKt6BH6Im3S56c6NlFZWSbenyHSILtAwDLY9cCsbt68XKVHKpa37vXKa6wn963r52Jfv5uT+Scr5KoMbBsl0Zji1b5J0RxqtNam2BGhNujONbUtvgGTGxat6KENRq3oE1QDTNbFci4UzS9z1mR3USjXW3XZtRdDnA9NwaHOuLc3fDbwXUbFI6dvfpvLyy+h6nfrkJPboKHE+jzU8jHJdYs9j5VvfwnQcIs8jmJoCw8AeGEBHEfbwsHS49Tzp3BsEmIkE2bvuIsrlsLNZrEZWTxkGnfffT3brVoJiETOVwmno569XtK9dyy1f+QqL+/dLd98NG3Db25nft09mM+IYp6GXdjs6sByHoFrFyWQIqlWUUniVClG1imnbmI5D6cwZNnz2s/jFIt3XYSMgI5HAvYTM/w18SCiV4F//VZpyeZ4Uxq5dK4RzeFjIqO/D3/+9kNR6XYIAwxDpThS1Oun6fmtWwHVFc7+yImS3eY8bBtx7r8wSFAoSOHR3X3i2/lrCmjXw+ONS7Ly8LDUNzeZenZ1yPXxfyH02K5n/Wk1elxuJvUpFAgLbluBhclKsPovFdwZi1wscR/5/riHcIP/nII5jdj/zJsffOkV7TztO0mE1V2byyBQTh6fo7Gsj8AIqpSrVUp1sV5p6tUa6M0Poh1iOiWHYbN65gfmT8/heSFtPlu7BLroGO7Edi3Khglfzz5L/JtJtKdKXQeZzraBroPOsNOf00Sn2PLuP6mqd04enKBermIZi/dgIbd1ZlqeX2XT7KPmFIhOHz+DVfNBg2AamaaKjmGTa5czRGYY3DzK69dryyz0fhHHAsnfxmX+l1KeBv0A0v1/TWv/Xd60fAf4OcfQwgT9qSAVu4Dyh45jys89Se+MNzK4ujHSaoFDAO3wY7/BhrP5+4nqdcHVVNP9dXYTVKmZnJ4bvixOPUrTt3El9YoKgWsXq7sYdGsIdHMRwHKJCgbhWe8+xrbY2rLa2q3DWVwaZ/n4yjz4KQO7ttzn5zDP4lQrLhw5RL4olcM/YGKnublanp+nfvh0vl2PxwAHCWg1Da0zLwrIs6RWQyZA7coTOm26i5/2KFa9x6Hqd6Ebm/9qG1tIZd+/eVsOtQgHGx+Wnv1/I/OqqLO/qEoLa0SFk1nGEtO/cKZr+Ukm2aTrquK5ku9/n/ieblZ9fFfT1ia0oSK3D978v1+3QISHwSknhcG+vBE9jY7L8rbfkGmvd6jEQhi03oJtukrqE6w1BIDNBF4kr8fy/Qf7PQXGpxMpcDlC4KRcQCUBuNk+6M83yTI4wjCkuFmnryeLVAuqVOrbjoGNN4EWMjg2RyiSxXYdEOsEtd20+W2wbRTEKyHT86pD888HILWvw6wFu0qF3TReTh86QzCYZ3bqOlZkVSrlVLMfCq3k4rk2lUJUOwErhJgzCMCLwQpLZJPd+YSfJTOJqn9IFQ8NFW30qpUzgr5BGPdPAHqXUU1rrczt8/t/AP2ut/1opdSuiD15/SYP+iCFaWSGcmgKtMZqOHVoTzc9jtLcTzMygo4hwfh7V04Ou1eTh3+haqT2PxNgYZjaLkUjguC7td911tputjiKIY8zLoOW/ntC5eTMjH/84ViJBdniY5cOHsVIp+rZupbKwQH1lBTORwK9UsBIJgmKRSCkMpaSpWRAQex5WJsPGL3wB5zokSQq4toz+buA9aDbiiqJ3FrM2G3DNzLTcfXp6hMTXai0ZS70unvltbUL0OztFAtNcH0WtTr4fJWzcKBahyaT49B8+LPr+bdukNmJ5WdZNT8ssQKnUqlVIJoU4+768/sIX5Ppeb1DqousortTz/wb5PwdRGBFrIfyBF+DVfHLzedyUQxTGhH5IHGtM28RyLDIdaeI4plKokGlPE/rikLM0tUy6PcmWe29iZTZPtjNDFEaUC2Vuve9m3KR7tU/1Q4VSis23b2D9bWvxaz5uSuQ9lVKNRNrl0MtHObHvNCtzeemDYCj5sSyqqzXS7SkM0yC/WOClf36VVFuSLXdvfkcdxrUOSzl0OhctV7oLOKG1PgWglPon4DHg3JtfA81vxXbgRoHBBaLZmVZrjfZ94mqVcG4OlUyio0j8+BuNcwzbxuroINaaKJfD7OoSm07XxZuawkinydx/P/7cHFZnJzoMifJ5Mvfcg5lOf/BgfoWglKJ/xw56bruNsFrFSiYJ63W8YhE7nWb6lVdY2LuX2sIC9cVFjIYntmlZ+KurONkshmXhLS5y4l/+BTuTYeCee+g4pw7jWodKJHCuR7nCRwlBIL+1FrJZq4m+P5kUiUq12tL123aLxOdyItVpevnPzLSacM3OynZxLNvddZfMKHyUoJQQ/S1b5Bo2+p5QLArZ371bmn8tLkow0CyatqxW8a9lybpvf1uu365dYvt5vcC2Zfbn4nBFnv8fWfLvewGTh88wfWwO0zIZGO3h5IHTvPrUXnJzeRzXpr23jVKujGEYZJrZZmWQTCeoV2usv20tpm1QKVYJgojhjf3UVmuksgl+948fp2uwk6nxWaaPz5HMJNj6wBb6Rnou+7loHYKugWr0F9A1UAmUci77sS4FtmNjO9KYxGq3SLcLCbrz0e2EYcRbLxzAq/sk0i5+PSTwAqIworBYpFys0NGfFUekesDuH7zFvZ/fecH9D64WAh2w6P3Sgp9f1uFzGDi3PfA00rznXPwp8EOl1P8JpIFHLm3Ev9rQvo9/+DD++DhYFtboKN6hQ5S/+13C2VmU62L19aFXVoSMZrNoJHurs1niUglrbAxsm3o+D55HcuNGWF3FTKcZ+OM/xhkepn7sGLXjxzEzGbL334+7fv1lP5cwjKhUPBKNfhmVikcy6eC6v6AJ0FWCaduY7dIzxHQc3EYGb/SRR9BhyMxLL4lUKp0mqtcJfV/cklZWmH/1VZLd3ax9+GFi3+f0s8+ifv3Xad+w4Wqe0nlD1+vEN2Q/1w58XzLQ4+OSkR0dldff/a4QdssSDf/ysmzfnG1qfBdQLLa67zalPBs3ilY9lYI/+RMp7j12TIqGbVu0/c3GXpcRYSiHTSSENzdfJ661CXLbFu0/iESqmcF/+GH5PF56STT/6bRcT9+Xk1tehldeEXnVI4/I8h/+UD636yUBEAQSvPxifOjP/48k+Y/CiNeffoP8QpH2nixezeNv/uDvqa3WSGaTBH5ItVSlWq7h1wJ0HJPKJrEsk9VChVQ2SUdPB/VyncJ8gc7+Dsbuv5nRsRFpRd9oTGU70kzr/RpqXQ5oHaO9NyA8ADgQrwARGANgmGjrVpQ9hlLGOe/R6DiPUhao7PvagGodocPjEI6D9sFcJ/sxrkzG0k263P/Fuzi25ySRH7M8u0K96hH4gcyXaw2x5sgrJ9i4fYMUYBcrfOcvn2Hnp3YwunWE7sFreyrVUjZdzi+1J/xlHT7PB/8b8E2t9Z8rpe5FPL/HtNbxJezzVxI6iqj84AeEMzOYPT3EtRorf/iHhIUCqq0NgoCoWCReXRV9fhhiZTJo1yXK5TDa2zH7+ogrFaLFRZz+fjL33Udy2zZUw6lCNWoAUlu3krpCGnWtNa++epxXXz2B41gsL68ShhFr1nRiGAY7dqxj164N7+jxobUmlytjGIqOjvT73v9xHHP48Az795+hVgvYtKmPnTtHyWaTV+Q8rESCzV/4Aot79xJ5HuXZWcJqFe2JdXIcx6A1i6+/Tv/tt9O5eTNBqcTBv/xL1j36KF3btpG+xq0/jRuZ/2sHcSza/qkpke/4PvzRH0kxbmenELViUVh04/4nmxU2vbIiBLanR9bPz4u+/d57pfmUZcly3xeyOzYmP1cAzaa5r7wiXHplRWqUR0Zalv27dr1TbaK1TEAYhnDp96srjmM4ckQMiKpViWl27ryCaptEQuQ8b74pMwIzM3INPU8GqLVst3evWH7ecous/8u/hE9/WoKwa6yY9j1wnA/K/H/oz/+PJPlfnsmRny/Qu7YHrTV7nn2LuRPz2K5NFESkMgmMjhSF+QJu0sG0TeJIk+3Pkl8qUinV2HT7KEpB6If0revltvtuIdV4ODoJm5kT8wxvuuhpnl8IHVfR/gEI3gT/MMRFsNYAIcR1MNvA6AHdBfWfouMSuPehlEHsj0PtX0EvoXHAGoPUYyjjnXe1Dt6CYFz2o9IQnkbHC5D4NZS6MpIl0zS5/RNjLJxexKvWWZlt2Pk1OoQ7SQevVuf1Z97gll2bqZXrxJFYss4cn+POR7exZvO1SwDOI/P/yzADnGsVtKax7Fx8Ffg0gNb6VaVUAugBFi/2oL+qiGZniWZmsBsdF6s/+hH+8ePgOKgwlA697e1ECwti22lZotXv6iJcXCTK50k/9BBYFsrzcNevJ/uxj2E2no5xqUR4/DjuFZiWrlTqvPHGBC+//DZvvHGKXK7C6GgvYRhTrfp0daXp6ckyMtLNc8/tJ5er8OijWzFNgyNHpvn6119gbi6P69ps376O3/u9B+h+l7vYa6+d5K23JunrayeTSXDixCIzM3kef3wXicSVmU1UhsHahx+mcOIEkefhzc5igtRfAHYiQeR5TD7zDME99xCUy0RBQHVxkeJ3vsPwJz9J5y23XJGxXQ7cyPxfQ5ibE+Lf7Lj6wguSobdtedikUsJ0FxZaTafiWAKDhQUp9n3gAVnuedKE6oEHWlnt1VXJ9l8BV6pqVTjyyy8LF15ZkcmEZva/q0tqaNetk/YBuRz82q9JADA+Dl/7mnDrREI487/5N63mvE3s3i377u+XJPzEhFyu3/iNVoPgyw6lpC7g7bflms42VCtat3oAeJ4UDheLMkNQr0vwdfKkzB7ceusVGtxlQBCIrOnicEWe/x9J8l9YKmE15CdHXzvGnuf241c9okgTBiF2wsYr+cQaegY7MJRBYblEIuNy6z03USlWGRjtw7ItwiBi4/b1Z4k/yMyC7Vz6pdU6QEcLEOdAZYWI158Ffw9EZyBaBhxQpkh+dB3og2A/xCXQZfBeQvt70e7DUPk6xAEYSVA2BPvQlTpk/g+ZCQB0XIHgbTAGWjMGZg86XkCH0yj7yvUf2PbgrRzbc4J9LxyWh76pMA0DlEHghWitmT+1SN9wD+19bbhJl1q5xspcnh98/Xk+89VH6F/Xc1ZadC3BUg7d7kUHJ3uAzUqpUeSm/23gd961zRngk8A3lVJbgATwS+cZP6qIlpflwQ3Udu+m+oMfoCsVVBiigwASCXSpJJaUfX1o2yZaWMBMpUjdfTdRsYi9cSOm6+L5Polt284Sf2gU9rqXHiQHQcjMTJ6lpVXa2hK0tSX5znf28sILhzl5conFxSKWpbBtg1TKoVz2GRrqZM+ek/z4xwcpFis8/fQ+XnllnMce28mf/dn38LyAVCqB45js2XOKWi3gD/7gs9i23P+ViseBA2dYs6Zbiu6BgYF2ZmfznDy5yG1X0GZ3+P77md+9m9kXXxSyZZoopTAMg7iRBVydnKS8di2pgQGc9naC1VVqc3OMf+MbbPnqV8mOjmI615bcEUTzb9/I/F8byOVa6fC9e4VQlstCMJu2nI37n8FBydouLopW/b77WvaViYRk+MfGWsQfWvu4RASBcODFRYlF2tpElfTCC2Kgs7AgeQnTFBn86qokwPfuheefF4789NPSkuDLX4Y//3MJHtJp+fp7802Z2PjDP5RTBPl7/35x62xeor4+GceJEyLdv2K45x54/XWR/8SxTE8YhgykOQswNSWe/8PDMhtTrUow941vwFe/Kp/LZbj2lx22LTKyi8MVef5/JMl/uj1FFEZMvz3Lq0/tRUeaONYEQYBpuRQWixiGQRTF1MoeiZRN/7peBtb1ctv9W6gUKtz+yDZ0HHPqwGmqxZZ1VxRG1Mp11t58aVnoOJyD+nMQHAJCUA6QgHAO4nnQK7IcD8KTYAyC2S7Sn/AImOvA6Ae9CtEMFP+0EUQAkSn7MwZAH0NHSyirMUuhpc32uVIhgQPxlW2u4yQcPvb4Pbz6vb14VU8aHqVdwiCmVq6hNbjJmKkTc0RRRLozzeypBQqLBQqLJU68NcGmO0Z5+Lc+xqYdl19beSkI4oD52sVZfWmtQ6XU7wPPITZe39BaH1ZK/Rdgr9b6KeD/Av6nUuo/IsU//1br5nzpDZwL1dYGYYh/8iSVJ5+U5lxxLMTfsogWF0UqE0XoahUzlcJctw57ZIT0Qw8R5XKkHnkE4hj/llvQhcLZfesoQpdKOJ/4xCWNcXp6hSee2Msbb0zi+wGua5NOO5w5s8TUVI7l5RK+H1KraY4cmWHt2m66ujIsLBTZv3+C0dFehoa6KJWqnD69wr//919nYaEIxJimSSJhMzzcDWhmZnKsX98HQLlcbxDud+oBEgmbpaXVSzqnD4KVSHDT448z+d3vslQuY2gtcqsgICiXzxZUFt9+Gx3HJDs7WZiYoL60RH1hgeK+fXTv2MHob/82PXfccUXHesGo19E3Mv/XBrJZcd6ZmIAnnxSyrrWwbcsScq+UbFOV5yFr18rPJz4h6x99VNZv3frOjG4USeDw8Y9f0hDn5uBf/kWs8T1PyHkmI9x3akrk482a5KNHZWjd3ZIIP3BA+mEND0sAMDMD/+E/tHpMmabELcPDwrGnpkTaAy2b/Xcb0ySTrfKHKwbXhd/8TflMmg2/Mhn5XM65/zlxotUx+aWX5GIsLsK+fXD77fBbvyWdlK+lXglhKNM0F4Er9fz/SJL/vpEebNfiJ//vHupVD9MyiKII7YcoBYEfSpFvRxKlNeVijaAeMnFI3v/Qb9zHms1ClnvWdLP3uX0sT68IsUax9YFb6Bm++EY9Oq6C9yIEJ0BlwEgDEXhHIDolMwAqCSqWbL+uSaZfKYinkWDBbRB5S+RA8QTgAm2gNOgQ4jnAB10g9lfAPwDxLASn0NZNYG88R+fvgSG6eq01xMsSWKgkGH2IG9WlQ6EYHO3Hdi0m9p8h8GPCIMC0TdykTXtPG21dGepVj+LKKt6qR2GlyGquTGmlxPypRY688jb/+x8/zs5Hri0/4IiL/zJqePY+865lf3LO6yPA/Rd9gI8Q7LVrqafTVP7pnyTj3+zOW62ilUL5vvxuuHlExSKqXic4fJiaYZD9yldINLK4zsgI1R/+kHB6+uzDJnH//diX0Mq9VvN5+un9jI/Pksm4ZDJtaA1vvjnJsWMzpNMuiYSD49jUagGVikc+Lzr+ycnFRnbfoVbzsCyDet3j2LFZXNeis1Oa7AVBxPT0Cr4fkMuVyecr7NlzksnJJY4enWFsbIQtW9ac1fnX6wG9vSIP0lqzsFCkWKySTDoMDXViWZfr/of20VHMRILlffvEdSkIMGwbM5kk0dtLoqeHuFpldXmZqFqlvriIn8sRrKxQOXWK5VdfZew//2fW/vqvX5YxXQ4o5Kl9A9cAhocljf61rwnJbMj6zhL9Zpa5mc0vFkVicuSIsOLHHoPNm2XdunVSfNpo9IfWov9fe/ENHet1mYw4elRkNv39stt9+2RZOi0c2HGED1erUnNsmnD6tLw/mWy5ENfrLVVTV1crzpmaknUrK3IZ9uyReOjIEZnM2LKlpfOv1VryIK2Fazd7kg0NySW8LNBaIpdkUiIf35fB2racdE+PkH7Pg+PHReu0tCSzOcvL0gzs1VfhP/0n+PznL9OgLgMuweoTrszz/yNJ/h3XZmTLMEHD2qtcqhCHUhdRKYidV8dgF7d97GamxmcxgogoiDAMhWVbLE6vEEURpmmSTCf42JfuprhcIvRDMp0ZEqlLm3bS0QIEJ4WwqyREgNEhkh08UO1w1ntENV6XIPZAR4AJwZFGMNIO8ZK8Dw2kQMdAHWJD9ll9FfQJCKcgXoR4FYK3wFuDTjwiAYQCVII49sF/FaKpxvG1BAXux1FGSxCotQZdAO2BanvHul+G7sFO2nvaxN7TMJg5Pk8YGCjDYMO2ETZuX09xZZVT+yZJZpPUqnXKhQpOwsFNuWgAZfCv/8/32bR9PR297R90yA8FlmHTe/Gynxu4jFCOg7NlizxYAIpFVNPmr1CAOMYYHCTx4IP4x47JEzKOUYaBadvEs7PoMERZFkYqRfqxx4hXVqRAtbMT4xKFsTMzecbHZzl6dIZUykVrTVdXhjiOqFZ9OjpSaK0bs+EhoMnnq/h+TBTFGAa89dYkAF1dGebm8tRqPnEck8kkiGOpDzBNhecFvPjiEcbHZzh5cp7p6TzFYoXXXnubdet6+eIXd2FZtnTlTjkEQcjzzx/m1KkFVMMWtasrw+c+d0fLEY1mYXGVej2koyNJOn1+UpzU4CCJ3l7s9nYMwyD/9ttEvo9Siu6tW+m//XaCXI6V/fuxk0michm/UMBOJMRCVWuUaTL+P/4HPTt3kuzru6TP4rIhkcC8Ifu5NtAsxPV9IezFYsvms3H/MzAADz4oBLNel4y+UsK45+ZahLTpPd+stu3oEHZ+CZidFX1+k/xrLaQ9joWEN2MSreWQIOQ/CGQbrUW6A8KT9+2T90VRa5tmYOB5Uj9w7FhL218oSCHxyIjEOU2r/XRafjdlR83EekcHfO5z7+1Rlsu1xnve7qZ9fRLtZLNygPFx+ZyUks/s9tvlZA8ckJmCWk0GnEjIAONYPpe/+AupUr54e83LC8uSYoxrCB9J8g/g1wNS2ST5hSIKAzthoGMNSopP23qyJNNJugY6UEpRXFnljk9tZ3RshKXpFfLzhbPZfaXUeZNMrSOI59HREqg0yhwGlYB4ER0tihwnnIVoAuIqqABiU7L3hgmREgceI9PQ9cdIdFAHcwxIQfiakG4dAcuN9TEQNuRCFsLmfVlXexJMS2RB2EL2tYb4DFT/Aew7wblJZEjYQIyy1jbOx4NwBs3PUMlHG8vqaO9nELWmQ7W9DWXf9r7uIuci3Zbigd+4l+e/9SI9w92EQUxuNkfXYCftvW1UV+tEQUhxeRXDMqiWapiWRarRHdmreWTak6zmK5x4a5Kdj14b2f8gDpm9SNnPDVwBBAFmJkO8sIAGdCIBcUysFMqysHt6MNNpnL4+MAyipSXSjzyCu20b0cwM0dwcViO7p5TCwsFm2QAAIABJREFUfHfV3C9AFMXMzOSZnS2QySQYHe0hlXKYmyswPb2C69oN8j9DuezheSGWZeB5AVqrs4S9oyNNLleWBnhBTBz73HnnKJ2dKX7844PUaj5hGLOwUCQIpF4mDEMWForYttmwBA0Iw4hvfeslLMtgaamE69q4rkkYwsmT8/zVXz3HfffdzLZtIzz55G4cxyIIYjZu7AegXveZnFzi2Wf38/jjdzeWBfzoR8eZni42zDo0O3euZefONR94/zuZDDf91m8x/nd/R2pwkCgIqMzMkB4YINvfT9Qo9PWWllD9/YSlEqZlYbe1gVJE1Sp2ezv+ygrLu3ez9nOfu/j/kcsIVa+jbsh+rh34vjDSZtfVxv1/NkPb3S3re3vl76Ul+OQnhXxOTwtDX9dw8VPqvVWzvwBx3Hp7Oi3Fuum0SHKmpiS2mJ8Xzts0vLGsVtNbw5BlXV0Sb0SRKEqiSIxwenqk0LdpUrSwIL/juPW3bct+ymVZ9q1vtcoaXFd+wlCCgb/5G5Hi79gh9QauKwHAhg2tSZLTp+GZZ0Sx01z24x+LNL9p1nPHHdLi4AOVOOm0yHa+8Q0JAoJAdjQ4KAFZpdKy/+zuFuJvmjJFoZSsb2uT9a+/Dl/84sX/j1xORJEELdcQPrLkX1xkFCoGO2FhKEXgB6hA0T3UiVKK3EKecqFKZ387o2MjjGxpTeX79eDCD6kDtPcyRLNC+AnQ/puNrP6SSHWishT1RqdkkFiNnwCZOE6InCcKz1mWAeNmMNohPNZ4n9/4zTn70Y2fOpK170DqBhpdDZtBgepsJPUdkRWFx+VvIwPhNNh3SmY/mpTCY60hOkyMhUp8DO2/AdEyyhxonHcEwT4wu8D84Oz3tge2MLC+l2O7j5NfKjFx8AzVYpWeoW5s18ayTPpHe1EYtPdCfqGAYahGF2GXMIhIt6eolCoX/BldKVjKps+9RrIQNyCZ/MaTSSUS8uDwfcwgkAeNaRItLBAVCpgDAzhjY7i3NYJXpdD1+gUfMgwjnnvuEKdP50gkLHw/4pVXTtLTkzzrwFOpeHz7269z+PBMo5+QgW2b+H6EaSpSKZdKpU4URWeXtbUlGBsbpq8vy759pwHwvADQEsPHGstSxLHGMDT1umT9OzszhGHExMQiYRhi2xaGYdDZmcayFImERa3mc+TIGZTStLenmZhY5J57bmLDhj5OnJjn+PF5QPPmmxOYpuIzn9nBz39+mtnZEmvWSEIkimJef/00PT0pRkc/WA45eN99ZEdGWHj9dWrLy+QOHiTM5UgND2O5LoZtkxkdRcUxVn8/3uwsyjCI6nXMZJI4CHA6OghXr2yNwgUhkcC4kfm/dhCf44DousKGmxKTxv1/1tlnYECcZLZubXWevaj7X4j5xITEGkEgGfaeHgkGXFcy8k88AYcOyWPVsoSs+74MKZWSbeK4tay9XdwvBwYkyw+tGQG5/1vKJsOQoRuGBBBRJOS9We5gmmJqZFkyxlpNAhHDkOWTk2IfumGDmOy8/bYcY+9eGednPiNuQdPTUjQMcozdu+U8m7UFvxT33CNvfv11CboOHRLiPDgo0xDFogReYSgnPT3dioqa0xQdHaJlulZgWecdIH5Y+MiR/ziOWZnNk18q4qZs3LRLFMf49QBlGKQ60nieT2lllWx3mjAICYOILfdswjQN4lgIdKbjwqf2tH8IvDfA7ASVAp0Cf6+Qa3sHWIMQHJQCXQyE3K8ihL3ZIL4bkfAESJY+IcuMKgSnQS/TyuwbSMa/iZCGhqixvNj4m8bfgbxXF0C7QFWWawXBYVBt8nfwJqhuiI6D6gDDAW1APIf2doskyGhNcSllolUGHZ5AnQf5V0rRP9JLe08bbz1/kBP7Jpg7tUBurkD3UCcD6/t44It38/oP3iKOHarFKvWqTzLtkO5IUVxexbIMqqseq/ky2c6r31Ex0AGz9Ruum1cbOo6J5+aIlpYwkknMdJooDDGaT8T2dvA84uVlrK4uVBCgPI/EPfegLKvRJyPG6Oi44GO/9dZpXn75bbq7M6RSWTIZh1deeZt9+ya5995NjIx0s3fvKSYmljBNCAJNqVQnjmOk6a1BX59FFEWUSiGOY5FKOfT3t1Ovh/z858eYny9i20bLJacR5Cil8f2IKIobch1FPl8mDONGbaMEE5ZlEseadNphddUjjqPG2Cdpbxf9/yuvjLN2bRcHD56hpyeD4zgYhsHcXJ4XXzzK6dNVBgZa7kemadDRkeLIkYXzIv9KKbJr15Ls6WH+Jz+huG8f+clJqnNzpIaHya5fz4YvfYnpZ54hMgyC1VWCSgU7k8Hu6MBfXsY0TaLVVfxcDqer64I/q8uOeh114sTVHsUNxLGk1ufnhSg2tSzn3v/NbHNPj7z2PLj77pYVqNat7r4XgP37pT61u1sOnckI+X/jDeG7IyPiwHPqVKN8Lxb+2lQcKSWqmGZNcVN1NDAggcArr4giybZpfF/ItqZ5NrdBGLZKE/J5+btZ2+z7rSAhlZIkevPY+/bJpTEMcQ8aGZHz6emRWQOl5JK+9JIEE/39rfM2TQk0Dh8+T/IPQv67u+HFF+HgQbkos7MSAKxfD1/6EvzgB/K5lcstG6P2dgkYTFOWrazIfq42wvBG5v9qwq/77Hl2HytzOcr5CkorbNciLmls1yKVSREGIcpUZDsyDKzrJ7HFYWkmR2GxiJtKUM5XGN06Qtu7vLE/CHFwWuQ12hNdvS5A5EsQoGxQIdRfAb0IRkokPVgIKfcQwh4iMp62xrII1IC8JwylOBibVobfABxaxL4JA5kx8M45RjNIiM45Hq19xQqMUAKWeBL0j2U8ahmUAfaYuAtFJwHzfdyCTIj9C7pmbz1/kPxCkYF1fTiuA2i8ise629ZiuzZu0sFJ2Ky5aYil6RXCIKRarJLtybJh+3qiIOTlJ17jwcfvvahg7XLCVjYD7kVbfd3AZYD2PLxnnyWemSEuFiU8dhxpIuU4GNkshCHaMLDb27FGRrBvvZVoZoZ4cZE4kyHK53Fuuw3zAvWbp04t8s1v/oxKxWN2Ns/KShnfD8hkHGzbIgxjnn/+EDMzBbLZBJ4XYtuaKDLwvAjDMAjDgIWFAp2dSXw/plbzWLOmm7m5PL4f0tmZwnEstI6JY41pKlzXJopi/GZ9AxrDkNmEWs3Hts2z2UGtY8Iwpl4PWF2toZRucB3dOH5EJpPg5MkFvvOd3XheyPx8AdNU3HHHBoaHuzh+fA6lMu9xCxK5UvTeC/NLMP/CC1RnZ8muW4fZsGYNKxW6b70VM5XCSaXAdYlvuonq1BTa9wmLRRK9vXRu344Cpp94gjVf+crVDwCSySvi+34DFwDfbzX3KpVkWdPDv2mn02TDa9ZI0e7YmGy/sCByknxe0uwXeP9PTsI3vymHnZsTVYrnyS5tW0j2Cy9IEjubbcncLUvWGYYMbXFR+G1T7rN2rezP8yQecZxWtr/p6tMk9k0YhhyzXpdtWve/7LNel6CjKdnRWl6HoVyi+XmRAFWr8towRBY0PCwlEk150rmwrHeO4bzw0kty7UdGWtFMuSz3USYjZN9x5PM4fVoGWChIRLJtm7zniSfgK1+5+gHADc3/1cXJ/ZPkFgr0rumha6CT4tIqbsqhVvXEOAdNrVwj25Whe7iLxakldnx8jJ413eTmC2zYlmTL3ZsZ3ND/wQc7B1r7ELwurj3BDEKmS6CXIE4CDpjL4tQT52Q9ZVpZ+eic143i3ob2Xhx8tOj0iRCS33zwBrT0/qqxrWosd2jNLiTO2X8TzWCg4VOhLNCNmQjtQTghDcXIyn51tTE8C4w2dLyKMs4JkHQR7PN/+JULFZanV+hZ043WmqUzK7T3tkEMK3N5bMcklU1y92fvwKsH5OcLvPmj/Xg1n/se28Wam4YwLZPCYpFTB06z7cGr2wDEj0Omazcy/1cTwYEDxLOzmGvXYgwOEi0toVIp4koFHccS5q6uYnZ1YQ4Po2ZmcB56iHjtWuKZGdSOHSTvugv7vNNXAt8PeeGFo7S3J5mcXCaKYorFKnNzBVIpG9s2mZsrcPr0CgsLBbQWy80wDAEaun7Zl9aaQqGGbUuGPpGwiGONbZsEQUwQhIAU/QZBRBhGxLFGKUgmZUYwCCIsy8A0DYIgIpGwxe3sHGM4meFs2mxbWJbC90Py+Qq+HzA+PkNHR5r29jTJpE25LDII25Ysfz5fo7Oz1fskn6/y4IMbzv+alUpUTp8mNTyMMk3Kp0+T6OlBaU11dhY7k8FNp1nz2c8Seh71+Xlmf/xjomqVtZ/7HO233IJh23hLSxT276fv4Ycv6DO77PA80XvcwNXDoUOt5l5RJAw8nW6luJvksqNDmOzMjKSq16yRmYC2Niki3bTpgmwkgwB+8hN5+6lTQrRLJdl9Oi28cG5O+GvTjrNUEi4L8rt1/7ey/lHUKlVwHNkmCFrku5npb8p9ksnW/ppSojBsBQjvvP/ld9Nm3zRl+1xO3nPokGTz29tb8iCQc+nslBjp3Hh7ZQXuvxAvmnJZIqahIRnsxISQeq1lBqB54Mcfl2hlaUk0Vaur4vKzZYu8b3lZpi0++ckLOPgVwA3N/9XF6SPTdPTKdLRpmdx81yZO7ptgcWqZVFsapTTV7gyWbWIoA61iFqdWMAzFpjtGuffzuy7uwHFOim+VBboCRjfoGVmmV4HG3a1SQIUWiX/fndEi+BatBm7NB20CIfZVoNl/oOkKlIT32E02171bItT8W8tv3fzH9Rr7722kBWpSLOwfhLgM5nowb4FgHE0FsKVA2RxCWevO+5IFDdtVgI7eNroGO1iZyxMHEbnZHJgGG7atI5FOkEgniMOIZDaBm3JF5mBIAXetXONn//o6i2eWGN40yIbt63CTV6cJSKyvId/hjyCio0cxGtkXZVm4u3ah9u8nnppCN6wqdHc3luOIxMf30VNTKMPA2baN9EVax0mWP8KyLEqlOn19Wc6cWSaKIgqFgDAMpG9F2mF1td4g+xHvZ9McRRqtQ5RSWJbB7Gwe0KTTCZQyGsGETaVSp1IRhy/DoEH+XQzDoFbzZLYD3ZAEKUBhGPrsQ980VeNYEEUhKytllIJq1SOZdOhtfI9Wq3Ucx2Tv3pOsrtbYuLGPbdvW89Zbi9RqPpZl4nkhw8Pt3Hzz+TvvxA2HH6UUie5u0kNDVBouS9W5OUzbpn1sDCuTwcpkUHFMMp1GJ5OYloVqaBuicpm5J5/Em5khvWkTbdu2YV2xNqW/BE2nmBu4ejh6tJV9NU0h8vv3C7HPZOQz6uqSdU39y+xsy2nmIu//XE6Is20Lce/vlxikKd+p14VQZ7PCec8l8e/GuSTdtmWmAESmo5T8tm3Jylcqray93P9C5qvVRokfrXXN1819W1ar/UEYyjkoJSTfdVuJ9GpVtt27V3j36Chs3y6XtVaTf/l6XTj8BU18NacJmp/JmjVysmEokVKhIHUYmUzLSiiVkoDANFvapkpFpilmZyWQ2779kt2YLhrvng65yrgs5F8p9WngLxAtyde01v/1Xev/LfBntFoS/6XW+muX49gXAsNQZ/+5ozDCq3p0D3dx6z030znYwdCGAV7655+zulJGxzFdQ120dWWYPTWP7VyYR6uOK+jwuOj3dSiZ77gK1joITzfceDTiu+8BJkQLCLn+Rcdq2nrCWVmPbvr9Nwp2rc1ynHgJmR1QYLQ1XgeSoddJWtIgfc5+mwFF07KvSmvWoSkjagQLSou1qFqFsCDLomkwDkhxr9EDzp1grUOZPWD0X1AvgGxnGtO2CLwA27XZuH09vWu6mTg8xdYHb6W9t41T+6W4cX5ykclDZ/AqPvWqx/juE6zMFXCSFrPH5xnaPIiTcDi5f5KF00vc/6W7PvQuwLZhM5C4sBmj6wXXy/1/7pevbjTwsYaG0HfdBYOD2Js24f/zPxMuLaGiCHNwEKOnh+jkSYwLJG6VisfBg9NMTi4Rx5p8vkKlUmPTpj5OnlykVguIIk1nZ5parY5hwOxsgXo9wDCM9yX+5yYbo0hj2wbptMvqqiYMYywLtmwZplLxWFgA15Uahc7OFK5r43kB1apHOi3B78pKmTiOGxIdOZ7jmKRSCUBTqdQIQ00URUSRfFeYZnMQmlrNp1iMzgYGp08v0dGRYc+eUwwMdPCxj42xceMA/f1Z1qxpxzTP/+HndHRgOI4U8SYSdG/fTnrNGvIHD9L7sY+RHR6m8OabAFRPn6Z08CBxtYpfq5F//XW8mRmstjbK4+OkNmzATCRYPXCA6sQEg1/+MuaH3QU0kYBf0YLf6+r+P0sAGg28hobEhmZgQLz7n3hCyGUUybLubknXX6CRfbUq2fGJiVZ/p3JZJg1OnRJOGseSwLZt4aszM0KYzx3muTj3/m9m85sTF02Zz623yt+Li0K841i4s+sKCa9WhSs3E9FNg6Pm/pt1BOe6AUXRO2cCml+j1aoEKcvLrR4DHR1St9DfL82QN22S12vWXOAlbG+XgdRq8nvrVvmsDh2SKYSREYk4QIK3gwdbTQ/27BGy39YmHqbNvgGHDslswpe/LPfjh4lfxYJfJYzur4BPAdPAHqXUU42mA+fi/9Na//6lHu9SsH5shP0/OUx+Kc/Bl8eJY02mPcWGbetwEzYLpxcbChoDwzKwHZtSbpWB9X1Y5/nw17omDj61p4EYrI2gukQmE/tgDYCximjgG/p9XQTVA0zKct7nzpe909LrayAEqx+MEdHa6xpSB2CDfQvY28B/XZYZAxCdgLjS4PoGmBshLoIuIUGHjWT1m+daPed4DatQkP3pZRmDFtcieX9KAg+Ksn/vZXDvR5kXrre1bIttD93KGz/cj+VYWLaF7wXs/NQ27nx0O6EfMn1sltx8njNHpjFtm+JKidx8kdxCnsOvHsO0TLoGOuge7kJrTfdQF0vTK8xPLLL25uELHtOlwI8DpmtXukXih4/r6f63bruN+vPPo5aXiV58UTr4dnZijo1hJhKEp0+Lx79lyRPOdYmWlzHWr0edJ1msVn1ee+0k//iPrxOGEbfcMkRfX5oTJxYbGn3pumuaMD9fpLMzSRyHDAx0cPLkPKZJIyv/XmjdTGqZZ4t0BwY6ePDBAcbHZxtSoRjXtRkbW8Ndd23ipZeOEMeaoaFOxsdnKJVquK6J1potW4bI56vk82VqNQ/HsUkmnYbrj6JSqWEYYFlWowO69BSIooj5+TxKGSQS8l1RqXhks0nK5Rq53CqGoXjmmT38t//2e/T3X3hxtGFZ9H/848w+9xyGbWPYNnGtxtAjjzD0a7+GDkNWx8epz81ROnIEZVkEuRzB7Cyr8/MUXn0VZZokhoZIDgyg4xh3cJD69DTViQmyt9xywWO6JPi+sKNfMVxP9z+33SYNuZaXRU8eRUIyx8aEHJ45I2zXdYUJJxKy7cjIeZPFWk2KeP/xH0XpdeutUqR76pTw0uFhyZAbhkh8mpadAwOyTVOD/35o3v/NAt6m2c3NN4vWvlSSf7OmDP7ee6WOIIqEfI+Pt3qamaZk4gsFCQLqdSH+qVRrfbncqg+I49ZsRNMyFFpSomJRApFyWQIPw5B63D/7s4u02jdN6ZL8gx/IgJodzR5+GD79aRnQ0aMSqB0+LNusrEgENT8vjb5Ms2URGkXyemZGbIpuu+0iBnUJiCK5SNcQLkfm/y7ghNb6FIBS6p+Ax4B33/xXFfWax/ju4zz1N8+yPJOTG8kysB3xiO9b18fYA1vwawFBEFApVLFdi8EN/Vi2RVv3BzvGaB2g6z8BfxywwMg2nG8CIeK1H4K/ghBpE4z1YpdJGaKm846ipdE/u2eEmEe0svIK6AL7djDbIe6V7YKjYN0M9kbAAV2G8AzYW8G9X7Ly0QzYO2X2IToF4TzEEfLd3ST+q7SCgQzQHLdq/NQQ0l9vbFeX8ekIolVQDSuu2gvE7pg0DjN6UdYQSp1f1n140yDZzgzTb8/i1X1SmQTFpVV+/Pc/pa0ny827NnH0tbfJLRTJL8jsQ1tXmvnJJUIvQJmSQpk9MY/t2Gx9YAtu0qG4vMram89rCJcNtrIZTFwjDYcuL66L+z/2PMLdu4n/+q+Jp6fP+ugpxyFOp7FGR0k88ABBrYb2PFShgHZdjA0bwHUxziNrEwQR3//+AQ4enMIwFP397UxMLOH7Ibt2jfLkk3tZWCjRLLq96aY+jh+fp1SqcejQaYJGI8GmRr+JpuVnFGmSSbk/DUPR09PG/fffRG9vGwMDXSgFb7xxkq1b1zI2thbXtSmXa5w4scDOnRv51Ke2sXv3CU6dWuTBB2+mXg8ZH59hamqFMOxlcnKRREIKoIvFCrZt4boWbW1JlpYKxHHUkAhpqlWPINDYdh3XdanXRUoUhjGlUo3NmwcIgoinntrLvffeTD5fpr+/nfXr+3Cc83vsZDdsYP1v/ial48cJq1WcbJZwZYXZ//W/sLu66N65k5U9e6gvLBDOz2PEMU5PD7VTp842cAq0pjoxgeE49Hz84xipFP7CgrCjDxOuK2nQXz1cF/c/nieZ4r/9WwnCmj6ajiPEfsMGSVXX663GUY7TMuI/j/s/DOHpp6X/lFLCNScnW2ZBTzzRIs2G8U7SfuhQq+dY02GnCbn/Wxr/plSnt1eS4P39cizDkFMcG5NEedM6dHwc7rwTPvUpWX/8ODzwgBxvfFzUNFEkwUciIccrFuWYrtuyzT93lqCZ9a9UWt2Em0XIpZKsC0N48knplZbPy3hHRy9A/bZunTQPaHbybQ7kH/5BoqY775RphoUF+YljibROnmxdTK1bMzef+IRENwsLHz75t6x3FkFcA7gc5H8YmDrn72ng7vfZ7itKqQeBt4H/qLWeevcGSql/B/w7gJGRkcswtBae+dsf8cr39lBdrWOYBhgKUxk4aZf9Lx5mYGMvHSeyeHWf2RNzdA104lV83t57iuFNA9z963d84DF0OCeZdGW0XHzohPCEePirLjAzQsajPJATh5w4gVy2psa+SbChpcO3kQx8WjrqWpvFetMZA7MPZa0HEuhgLwTHGm5BMZhrwboVqIAKwLlbgpJ4Xm4M51YJTOI6lL8B/k8RUp8E+qV3AAWIC0jBcDMA0LRsQ53G3/XGGAOZYcAE73sia1IuhG+jwy5IPIxS55dJbevOcuu9N1NcLvHyt1/DTtik2lKU8xUOnDnMLXdv5uDLR8gvaEr5MtVCFcux0Ap0FFOr1FmcWqFeqbNuyzC+F5Lp+PA1v34cMlVd+tCP+yHgurj/g699jfA735HUV0MTqpSSB/tPf0q4cSNGVxeG7xMeO4YaGMCoVtF796I2bsT+9Kc/8BjT0zmWl8sYhiKTSWDbJj09GcbH53Bdg66uNG1tCU6dWmR5ucjycszgYAeplN2QB8UNLa5q6N1F3qMUuK5NHGuy2SRdXWm2bRuhoyPNzp0bGBrq4qabBkkmHX7+82Ps3z9JPl8hijTr1/exY8co5bKH74c8+OAWPve5O5mdzRPHMdu2reOee26iVvP47//9+zzzzJtEUUwy6TA01Elvb5alpRIrKyVc10Hr+P9n702D5DrP+97fe5Y+vffMdM8+g5kBMBgAxEIQ4C6SIiXKEmlSiqU4vt5kV+K6cZWz2ZWKdZNyOal88E3dD3HVTaXsSqxSkrJdNm1F65UsCaK5EyAIgMRGYLDMYDbM1jM9vZ/lvR+ePmiABInBMiAA8anqmunu031Ov+e87/k/z/N//g+GIZ29fT/ANNVFWcJy2cU0pSFZoSBFyX/5l6/ieT6xWIQjR8bJZlM899yei07M1czJZmnPZqkvLDDzN3+DikSw0mncQoHqiy/S+vDDLL78MqXpabzFRbxCARWJoJQi8H3cUonK+DhBsUh62zaCWg3rOmQab9jqdYk63n12R8x/vv51+Nu/FVQbVrGG8/+114QP3tIi5+m99wRRVyoCLtevh89+9qq7mJqSqLdpytfatrCGTp4UJyCbFfx6+rTUp87NSVA6Hpf3g+CDXPzQEXAceT+Vku/Zvl2SFvffL2yYTZvke954Aw4ebFJ6+vpk22JRftqjj8Kzz8qx+r6899BDAtb/83+Gb39btotG5Xs7OuQ4FxflGC5V8glrpJvzv9k1eGVFfv9f/7W8l0gIM6e1VRoir7rspq1NPKfFRXjhBfnSTEZ28OKLcvAvviiAPp+X8xuJNOWRSiXJ6BSLkoa5TpnWG7awwOM2sltV8Psd4C+01jWl1P8JfAN46v0baa3/FPhTgD179nwY9+WabXEmz/E3TqEw0EGAZcnEr9dcjGKNAM2+7x4kGo/S2Z8j1ZJg5twsgS982FQ2SetqUtd6SQC/kZBmXSoqfPzgglBsrChEHgKOg/cCQv2pyedIIaA7LOYNswARJNqfFqci8jiYXWA64DyJYb1vkbT3gDmI9mdAOSizB2Uk0braKDqON3S+QyUgp/HcR8d2g7Md0fI/Jp2GgwuNeoIwIxHetBs9AS4WDIeOS+O0BReAGFh9oFKgYqAXwN2H9hcg9iQY3Vft+BnaqQNnsKP2RYnVZEsC0zJ587tvc/yNU5SWShQLFYKGuomTiGDaDjoIqFfrePUoZ4+MM7Rj4JrVmm6G2YZFT+zu5Pyvwj7W+R/Mz+O/+iq6EVYzLAutFKpWk5sC4H/3u/jxOFZvLyqTwT9zhsD3UaaJ2dKC0XV1mdZ8voxtmySTURYXi8TjEYJAMzWVZ9OmTmIxm6ee2sLRo+f5kz/Z25CirrG8XCaZjFKr1alWvUui/wrbNonFIrS1SebxC1/YSV9flmjU5plndjE8fHlO/dFHRxge7mJiYpFIxGJgIEc6HW90/BWpTqUUruvheQHRqC1AOQj41KdG2L17PVoHHD58jnPnLjAxkcfzmvPftu2Gkojf4CqH4F8TBAFaByhlMjW1QDweZd26HOl0jGQyhusu8/LL7zE7W+D55/fQ35+C0l3vAAAgAElEQVRd9fwvHDqEsm0ijUpDI5PBsCwufPe7LL/2GvV8Hn95Gd2QN1HxOGYshtaaoFzGT6cpvPsu6e3bSVyjWtNNMccREPmzaR/r/Cefh5dfbgLCUJg+RKlKSYvadFp4OSFC932J2KbTgoSvYouLsnkyKYA5kRCsOTkp4DwaleBzby/8yZ/I4VQqgleTSTmckPMfAuuQg9/WJt/1+c+LWJHjSEOt9yewHnpILrPJSTmWwUE5/GpVAH5Y1xwWFcdiTfD+8MOikKm1ZC9OnxZWTah+Cs3uwGFPAMtqvndpMXKoZNTXJ/tPp+X9118XnP6lL8nvWHUN7OHDl/PmbVuef+970gxsYUGyNaG8UVj8C+KVpNOSXtm5U2o7brWFMki3kd0M8D8J9F/yvI9mYQ8AWuuFS57+N+A/3YT9rtpWFouijmGbBH6AMk3cWl0K65DmOdVyjQtnZ1m/fZDWrha61nfiez6mZZKfyTcK465ypaqMFPeqTvCPg3e+Qa1ZliZc1hbJDNTfQECz1ZTIpExTkz+CdOgNkAh8K0QfgejPgaoDcZS9AWV8MI2klAKzHWW2v+/16GVMIqHeXEK/CRYhqKDMLrQ/B7iN8v+w2NdCJD8bzXt0ufH5Es1uwmG/AB/JAtTAdyXLEbwHQR4MG7zj6IoLkXtRkXs/ekwbtjCdJ56+PFwQBAFv/egQ2Z42istlaeCkNTrQuFUPFQXbtqiX6wRa48SjPPD5XcyOz1PMl8i0p+lYl8Oy194Hrgce46W7j/PPHTD/9eIiAKbj4IWVcbXaxbSwtiyo1dBjY6idO7EiEczBwaYmXkNlRl2lYq2lJY7nBfT0tPD22+c4c2aWet1lfr5AT0+anTvXkc+X+PGP320IihiUSjW01pRKVSIRG9/XRCIWtZqH1pp43CGbTfL009v5hV94ANf1icedRi1B5gPHoJSis7PlAzz790fabdvCvmT6z8+vUCxKTcLs7HKjQ7CB5wVorRv9AwxaWsQJKRarRKOiXlSr1QkCKQr2fXFcKhWXSsXDdT3m5wscPTrB3NwKjmNz6JBQnB58cCOPPLI6/l1tagornb7sNR0ELPzoR0R7evCWlvBDsfIgEMdOKQzLwm/IqRiOQ8fnP09tcpLS4iJ2Lkd0YADDXh0N8YbMde/WyP9tP/9ZWJDrItTFDLvBhvfzUMfy7FlBv47T7CBr24KAQzL9R1hrq3ykp0cSBmfPymlfWBAfY+dO+fujH9GopWlKZBaLsttLZTi1Fgzb2iqUnS9/Wd6PxQT0d14hlqSUvP7+96LRy8sWbJvL5v/iohxbb684LmHPs1DxJwymt7bKPsLjLRRkKH2/+QiCJnsqLHY+fly+13HEsQgCEVt67LFVnsPpaQHwl1oQwE9+Ij92cZGLTQnCA4hG5UfWak2n75lnJO2xuCiOxLp1t0aFy/dvr47D3Bzwvx8YVkoNIZP+l4BfvnQDpVS31nq68fR54PhN2O+qLZ1LYTkW7X1ZTtqmAEPDwHd9AkNhGSbrtvZiWhbllTLpthSmKTrY9Zp7UT7yaqasbrSbgPphkfSk2iiwdcUpCDS4P4JgHAH7oeZ+QDOKHur1x8EcAcOB6Bcg9iyGscYKFUp0xPHPgNEGZqOOQFdFISioCHgH8GuN448CS1xepBwWCXvgvw6ls0BNiprNDChTtvHHCIxuDOvqEfFMLs1KvnhZs67JU9MCTKI2LR0Z6pU6tXIN39D4ri/ukx9gxSL0j/Sw9eGNHPjRYcrFKnbExq3WSedSPPzcnlsg/6nuVqnP237+q2wWFY2ik0mwbXS1KlKQrivZAK0xRkYwHAe9vIxqb0c1Kut02DLevLpSVX9/Gy0tMd544ySlUplqtU6hUMN1vQafX/Otb+3n1KkZSqUqYFCvuwSNbGSovR8EAalUlO3b+4hGHb785Qf4lV/5FI6ztiBVNeb/iROTtLWl6OyUSFWpVCWRiFIsVnEcC6UU1apIEUejNouLJS6lLCplEYmY+L7PT396jJMnp6lWPbq7W2htTaKUiWWZjI7O0NeXZd26q/Op7VyO+tzcZapLpTNn8H0fJxrF6ejAr1TQlQqB1viuK7IIDeJyctMm2h55hKW9e/ELBZTjENRq2K2t5J5/HnOt5T/vXqnP237+X2ypm0o1C0dDZBuGvTdskG2WlgRMhpW1riufWYVUTW+v4MnXXhOcFyYWajX5GtOEb34TRkcvJhxx3WaCISy01VoOdds2wa//4B/Ar/3arROoee89AfnhMBQKkjEolZrdg0OnJRYTcH+phZe67wsj5+RJGYPOzqZEqG0Llb+/X7ITV7VcTkD7pcIL4+Pyxcmk8JNCtZ+wKrnWUFR0HIn2P/qoVEAvLclrtZpQvZ5//tbIf95mUp83fDRaaw/4HeCHyKT+K631UaXUf1BKPd/Y7J8rpY4qpQ4D/xz4jRvd77VYS3uGXU9uo1KusX7HIJ7v49U9lKGIJWNs2DnII8/dT8dAO4WFIm690VzH9cnPLLHpvvWrTE+bQAS8k1JoG/hgrQPrAdAXpNjWm0IaeIUKOV7jUQViUhdAVKgyka0Q/zVU/Pm1B/5GY7/BioB9FQGtwOwEe0hqE1QKVBYpZu6Tv6qDZsOw0PzGbwqQrMAU0hzsNHhHgKzULQQFqP0Qra+sbnKpDe9eT2WlQnlFVp1quUZhfoW27jZ8P6BrsJ1YKoYVtTENE8NSGKYhiiSxCDNn5zix7zRuzaO9N0tLe5r2/hzFfOmiZOhamm1Y9MbaP/Rxp9qdMP+NbBbrM59Braxg7NyJ8n3R8G9o5Rk7dxJ5/nnUunWQz6MbGtO6IWth7Nq1qvlvmopoVHHkyDjLy2V832fjxixPPjnC9PQ8r732HufOzbG8XKFe96nV6g3HIKBScYlGbTo7M8TjDul0jHvvHeK3f/tpfu3XHltz4J/NJkkkHJaXy5RKtQYdCHp62hgZ6aO/P0dra4KOjhYsy2RoqB3TNOnpacVxGs58Yw2QPgUeQaCp1VzGx+cpFMocOzbJvn2n6ehIkMulKBQq/O3f7sP3rz7/M7t24ReLeI3omV8uU5udJdrdTeC6xIeGiKTTwve3LMnSmCaGUkSSSWpjY6zs309QqeD09RFpbyfa14dXKLBy8OAajmzDIhGJJn/Y4w61O2H+09oKn/ucIPFduwTshy10k0mJ9n/pS3Ie8nkBhdDUlN+1a1XAzTAEoB89KlQezxMKzmc+I1SXV18VvLq8LLuv1eSv6zb187u6BIcmk9I195/+U/iN31h74N/WJg5HPi/DFNKBOjulMLm/X97v7BQnZf16AfDd3R88trApmdbyG8+fl9984gTs2yc4PpeT/fzt3zabmX2k3XuvAPuQN1+pyLnp65Odhfym0FELPSmQ9MnYmKRjikX5THu7/C0W4cCBmzmUVzbLEkfjwx4fg90UvoPW+vvA99/32h9c8v/XgK/djH1dj5WWy+z6zHZS2SQH9x5B64D5yTztAznWDXcztEMaPw1kU6zb0sfxfafwXB/TNNj6yCbWbe1b1X60dw78s2Ctl0LZYFHAvj/WqAdYEicAlyaVxrjkuSsFusoDox+sTajoY6vmxd6IKWWC85ioFQVl0C4oC+xNYLQDxwWwGy1g5oAc1H8ghcLeAgL2L+H8X5QlDR0BuOggBBOgesBISmYkmJU6ho+wbHcrDz23h+NvnGJ+coFEOs6jv/AAB3/yLsdeO4ntWLR2ZEhm4syen0ejsW2bTHuKRCZBpj3Fm99/m3/4e8+zPLfM0vwKEccm1Zpg4uQ0Wx5aWw1uKfhduPqGd6Dd7vOfpSWsT38a2tpQP/4xXhCgJyZQ/f0Yw8PY996LSiQgm0Vt24Z+800C10WZJsaDD2Js376q3YyOXuDEiSlGRrpobU0yN1dgbGyO0dEp5ueL5PMlJicXcF23IdtnYNsm9bp0163XPdav76Be9xkaynHPPX08++zqHI8bNdM0+bmf28V3vrOfUqlKve5i2xb33NNHb2+Ww4fP0dqaIJtN0d6eZt26HH/xF69Qq7nMzhZwXelILpl3dVnzIN8PLvYviETg3Ll5Bge7SCZjlMs1pqfz9PVlP/L4nK4uOp5/nqU33qA2OYmZStH1pS+xsHcv+VdfBd/HaW/HymSojI2htEZFIjjt7dipFLGODvLf/z7J3/s93Lk5ySI4DnYuR/nkSVquqf3oddil+oh3md328395WfglmYzQRHxfUHhfn5Dxd+4UtJ3NCtB/4w0JZxuG9ADYuXNVuzl7Vugtw8Pib8zNCeYcHZWvW1hoMoigyekPKT71umBY1xVVnJER6St2C6Y/hiH+0Xe+Ixi7VhMcvXWrDNO77wq2bm8X4L5+Pfz5nwsGn529vAPxpY3FpEmgfF+YETh3ThItyaR8fmpK2DcfaR0d8MUvyrmZnJQPP/+8RPJfeUV2ElZUhx3UIhE54FRKvJTvfx/+5b9sVluH3cpOnhRJorU032+me24Tu6s7/FZKVQ795AjzkwugFEuzSyQzCR790oNMvDdFcblM94Yuioslzk2dp2OgnXrdY8uDw+T6skTjzrXxwb3TUvDrTUBwQHT3dR1YBiICeHUMifyDRMWBi821TFHiMTKi5mOoW3LjD02Z7RD/B2izB9y3wexHGS3ooARWDyr6myhTbtKBew68lxrZgQz4CphHgL6ogQjwh2YtQ0PiVC9I1F/F5ffq+geO5UrW0Z+joz+H7/sYhkHgB9QrLsuzK5w9MkZ5pULEsega6sCre/Ru6qEwt0zgQ6lQIT+9xHf+6w/oHOggmUkQBAFuzWX9vUM3dyCvYBFl0Ru7vZp83PVWLsvNfmJCan7m5rAyGfQXv0hw6hQ6n4eNG9GFAuq99zAHBlBaox96SHL48TjqGvjgJ05MYVkmY2NzvPrqCUqlGrWax+JikWjUJp2OEo9HWVqS7JXv+5cU0ils2yKZjJLNpti2rR8jVCS6RdbRkeFXf/UJBgbaefnlYwwOdpLLpVhZqdDT08Y/+2fP0NUlVKAzZ2b43vfeplSq0taWwjAMZmaWcd0Aw5DgatioLBIxCAIpCrYskwsXCiwtSUF0JiPFyKuxWF8fsa98RRq0NXYS1GrU5uZYOXwYb2UFFYkQX78eVa2S3LQJd2FBMj2FAt7MDDP/9b8SHRzEamlB+z6lo0dJ3ArZv0hEwqef2K2zSgX27hWgbxjNKtznn28i8g0bJJp87JigXN8XCZ3+fgl/XwNV68SJZrOr114TrFerCb08GpVdJxISXQ/t0kJa25b3OzoEdF9aTHsrrL0dfvVXxfHYu1cAfi4nv6OrC377t5t1z2fPwne/K8Pa1ibHGjo2zfnf/G3hc9MUtc6lJQnIZzJNCtFVrbdXCh/C+a91s8vYwYPCSzJN8aCqVXHsFhdlm0JB9P//5E/k/dZW+Z6jR2+N7K9pyo+9jeyuA//1ah3TMjEtk4M/eZfl2QKtXS3MTS4wfmKSaMKhZ2MXu5/eycSpaU6+fYZaqUZ7X5ZkSwLLMjn00yPsemo7A1uvcbH2x0TWU5cbDbxAqD2G/A2mgCtxyzRCGYoBnnTkVXaDWnNrTakIOJ8SB8B7Fx1cANUKkacuAn8AZXWijR7wT0k9g9kNfgUo0FT/CS3sU+ACKxDY4M+AuVU+a6Su6RjNRjrPtEzu//y9rNvcy+GXj3Fy/2kWpvJ4rjgElWKF0lKFTEeK2bFZgsBn8tQMlWKNLQ9tItmSYGFykVKhhO/7F793LaweeIwV787I/21l1Woz7bt3r0Rbu7vRU1Nyd47FUBs2YA4MoE+fRh8+DNUqRk8PKp0Gx0G9/LJECrduvaZdnzo1w5Ej5ykWq0xNLTfUfFwMQ1Gt1hkfXyCT+WD+Xm6KJvG4g+8HtLRIR97BwVtPB3Mcm898Zgf9/Tn27x9lYmKBXC7N88/ffxH4g9CBBgZyvPPOGJ7n0d+fpVp1mZ8vYppSKNz8fYpIxMR1A1ZWykQiJhMTi+zcuQ7X9WlpuTa+rQrnqWnS8bnPkdy8mYWXXmL5zTepT02B61KfnSUol/HyeaIdHbhjY6ggoDY6il5ZIfnww1htbdSnpggKhVUVdN+Qua6ESD+xtbWwkNe2hXA+NSVR36kpAfjxuPRbeOop0X8/cEBAY0+P0C8cRz732GOrjviHNjoqxaylkuzOMCT+YBiyLE1OXhn/haA4kRCQnE6Ls7AqLvxNtkhE+mj19QlFZ3JScPJzz10ueNTTIyypw4fl0u7tld+6sCC/5VIqTxDI99brQvWJRKS3wI4d8tlrFsEJ579SIsG6ebM0bdu3r9m0YGpKvIrFRfFqxsbk9dOnxZt58EHxbKan5aBc9/IK6JttQSAXxm1kdw34X5pb5t2XT7A0u4xhKjoH2pkdnyeeinH4xaPMTy6yPF/AtEwmeqcYvKefhclF8tNLtPdnMW2L9/aPMrR9gLauVk7sG6V/c+/VFX4apoNigy7TuIBUXHj/+EiTrBpS5BsWyob0mPAUNJ6bQ2D2gIqi7C03Z3Cu0ZRSKHsD2loP+Cj1wctEqRg69osQfF0KhIM5JMKfRX5n+ZKtQwlTm4v1Dd44+BMiSxp7lusNcJimSc+GLno2dPH5rz7J7Pg8B/e+y4/+50tUV6rUa3XOvzeNYSqUYWI7FtVijdMHz9K3uZe+kR4S6RilpfJFGdG1MNuw6E/cudz+294WFkRHbmZGbg4DA7Lgp9Mi8zc5KZE/y5Lc/K5dqJkZ1IUL0N+PikaFE3rPPQIWDhyQvPsqHcJiscrKSgXHsdAa0mmHpaUKnueTTkep1TxKpSrVqotpNvW7TdO4GN1TSjM83MXAQDuOY7Fr1+DajddHmFKKkZFeNm3qwfcb0sjvs2g0wj/5J5/lj//4e5w8OcPUVB7bNunpybC8XMF1m9H8et2nXvdxHIt63adcrnHq1DRjY7OsX9/JL/7iQ9d/rKZJYmiIxNAQfPWrVM6fZ3HvXqa+8Q3R/K/XqZ08CYaBYZoYto1XqVA6dIjoyAjxTZuw02m8fB67fQ3nZyQiiOoTWxtbWBD6x9RUc/6PjgraDp2ACxdk/re3i9TMxMTF4ADRqMz5e+6R8/TWW/L/Kh3CUkmCy2ETrmRSnnuesE5cVzBnpcLF+Q/NdgOhDQ8L6Hcc6WH1cdnwsPhIYTHy+81x4Ld+S3oDnDolw2vbUhNQLF4ubBM2/IpEmo3Bwt4Hg4Pwla/cwIGG5/rXf10eExNyvv/sz5rdxkZHZVvRJhYv5Z13JDMQcrQWF68sn3SzzDQ/qFb0MdtdAf7LKxVe+9Z+bMcm19uG7/mcPnSOuYkFdKBxYhESmRj1qkvgB5x5Z5xoPIpb9zBMg2jcwYlFsCMWEyenyPW2Ua+5eHWPSHSVab9gCVQLUAB/AZHADCU7PQT0+0hEPFTDCfWzY/Ja9Elw9jQ64W5AGbe+GdWlJpSDD79EDLsfnfkaurIP6j+RzIa2wD1IswYg/AsXHQCjGwwLaJUMR+XbkPzHN+V4Owfa+bnfeJK2rhb++//1F9TKdZFpNS2iCQfbNonEHToG2und2MXgPf3MTSxgWmtbiV8PPM4V70qpz4/fikXJQUciEoLyfVncz56VsFskIgtvGHk5flxy1dWqLMqxWFMW7tQp+Y6wIm+VKjCLi0Wy2ST5fIkLF/INKUybet3D8zS1Wh3fD/B9jWEoHMfEb/QRSSYdlDJ45pldPPHEVrq7W9i8uZdk8hbJe3yIKaWuCPxDGxzs5D/9p1/nuefu55vffJPx8XlM0+DNN0fxvOBix9+gkQSo1Twcx2LdunYsSxqgxWI23/jGi3zta79wU4451t9P71e/SrSnh3O///vUy2WU76MMAzMWQ9k2RiJBfHCQ6MaNJLdtoz4xsbZRfxD0M//J/F8TK5elO5VpytwNAtF0P3NGXrNtieqH8//oUXEAQtWfWEwejiOoNCwirVYFxa/C8nnZxeKixB9CKcxQBjP8G3bJdZwmeyWRaHLuP/1podhs3ixOw8dpSn2079PfD3/0R8KieuEFodorBfv3y/AFQVN2Pyz+jUQE8FuW0O1TKfjGN+Df/bubdNB9fcJd6umBf/Nv5Jz7frNhgm3Lmj4wIJSvHTvEYVhrud+wC9ptZHcF+J8cnUYHGitisTC1iFKKTHua17/zFr4fkMmmiKWiuHWXeknA4JnDZ4kmo7iux9jxCZy4Q6YthR21KS6ViMUdrFW2oQfQ2oPaPmABDFNkMakiDkAFAb7Q1PFPcZEeY7SKyk/yNz/YtOs2N6VsVPxRdHQHuvoa1F5E6hu6QM9ysePvRf5/HIwYGFlE/rMF3KMEQRXDuDlgRymFHbNJtSXwPY96pU4ik8Cte9TrLlbEIpNNYZgGS7PLtPdlSWTWWurrrpX6/Pjt7FlZ4B1H7rwgN/fvfU9AfC4nd9hQViORkHx1COzHxgSYpdNyE1he/qAw9lUsCAL+/u+PMT29jGVZFItVQBGLWZTLtYZuv0T3Lcsik4ljGArPC8jlUuRyaf7Vv3r2A027bnezbYunntrOnj0bePHFo3z72wdwHJv+/iwTE3ksS+O6Pq4rHkA8HiEej9DZmaFadWltTXLkyATFYoVkMnbzjisaxclk0LUaulLBbmlB1+v4tRrKdbGyWQzTxJubw+7uXvuuv0rdEMBQSn0e+GNkQf1vWus/et/7DvA/gN3AAvCPtNbnlFJPA39EMxL1r7XWe6/7QG5HO31a5nlrq9A4QOb/t77VnP+plPxfqQgIPHBA5n/Y0XdiQj4fj8v8dxzZbpUWBPDSS83EQ+hnxGLNAtpLOfDpdJMek8vJ4f7u78KWjyfZf91m2/DEE3DffcK8+da3muUtYaOxsKEYyNIbi4mDU62Kw3TsmATpb2pgPBqVrE+tJicj7N5cq8nAt7c3CxA6Om5NA641pBVfj90V4H9locj02QvMTyxgOTamaTBzbg6NNHzyvYCZM3MsTC9iRSyStQTllTKlpQoDW/uolmsYKPJzy7hVj/5NPTzypftXRfnR2kW7x6D8V+C9jQDfBLJGhw6A03iYXFT1oQZGTmhCZg6sbSjzzi0IU0YKYp9F6yK4+yFwgTgyBhGa0p8a/GmRFFUm6Jabrn/rez4T703TN9JNa0eGs0fOE+gAw1RYpkk8HWdpbpm27lbS2RT3PrXtpu7/ShYxLAbin9B+1sTyeSnq27ev2flxbKwpN+F5qPPn0dPTzfaUpZLcle+5B1WpyHb5vICD4WFpn7mK69LzfA4ePMef/dleXnnlPRzHJp2OYVkmpVKNarVONGrjNNYl0BelPbu7W7Asg+7uVnbtGmTjxqt3Eb5dLZ2O8+yzu1leLvPSS8eo1VxSKYdisY5tK5TyGhkAxcTEAsvLZUzTpLU1iWFwUwubte9TPX6c+MgIdlcX5XfegUb037AsjEwGd24Ou7MTs6WF1s9+9qbt+0Mt1EW8DlNKmcB/AZ4GJoD9Sqlva62PXbLZPwbyWuuNSqlfAv5v4B8hKgzPaa2nlFLbEEnO3hv4JbefLS0Jh+SVVwR5hlW3YcMnz5PnYYS3tVXm/uKihNhDKZqFBQlfb9wIP//zqwJrngeHDkn0+pVX5OszGflbLDZ7TTmOLEthjWq1KpeDacrfHTuEhXKnWiol/bMKBXGCqlV5rVhsdgUOqU6Tk7KdaTabht1UCwLxKIaHhcrTmP+Nzopygi5cENCfTkvKZa0rq01z1VmkW2V3PPivFCscf/Mkb//oHdK5tKTUEw6BF2Aog87hDpZnVygVShimoq27lXqlzvodA5zcfwbQDGztY35igfzMEonWBFsfGaF34+oWal3fB95ZcI9JYSw10HONdyPyHI1QewKEE6+ARVG5MdrA3gqJr95SZY+1MKVMdPQJqL0B9TeBNkTpqEwz41Ft1EWsgI6CHgXzIXAPERCgrEEwum9oLHxf8ozdQ51M6wuM3L+ByVMzaK3RQcDWhzcxvHs9O57YSiabviXjXvM9zn5S8HvzrVwWpYe//3sJoSkloaUwpz48LNGdlRWUZaF7euQzu3bBkSOoIBAAMDUlWYPWVpH3W2UL+JdeOsGxYxMcOHCWtrYk9brH9LQ0vXMcq9EMSxGP2wSBJpdLNRRvlqlWXfr62tixYx3/4l98/o6f/6Zp8Mwz97F37xF+8pMjZLNJLEtqIaRBqkWpVMW2TZaWSiQSEY4fn+Dxx7ewb98oQQDDw1309bWtutbqSqaDAHyf6MaNcOoUqQceoDI6ig4CTM8j9dBDJHfvJv3pT2Pncrdm3D3vcpmXa7MHgFGt9RkApdRfAl8ELgX/XwT+sPH/C8D/q5RSWutLmxgcBWJKKUdrXbveg7mtrFSCN9+Ev/s7ieYqJeHlEGkODwuoX1qS9aCnRxz87duF1x8EUtg/OSlrQDot83+Vxf6vvioymG+9JcFl15XkQxAI6A/jCvG4vNbW1kxQVqvCUtq+XRQob7PA8DWbYUjM5Cc/gR//WH6raTZVjxyn2ShsaUlO0/Hj8MgjkogJAvG7+vtvMB4YNvlqzH8efFCyO+HrDz8s6/9nPtO8Z6y1hV2HbyO748H/oReP4tY8Um0pDEMRidrMnJ3FtAw61uVo68gwe24O07ZwDIVX97AjNmffGce0DWbH50lnU7R0ZNjy8CYiToRYanXpfh0UROGHKKLSEwVtNAp9DZr8/hgQl8ZZVBqdbnPgPAfObpQ1gFK3oMX8LTDDzBHEvygFwN44ov4TAv8Aof+sgG7UUmgf/DnwpwCF9s6AvQUVuf5qp0ij9mNprkC9XGf2/Dwdgznmzi+yblMf9312B0M71tGSu3XSWxHDYiDx0VrmH2VXS/s3tvlFBABo4LDW+pffv81dZ2+8IXeWMG3rOBK9AxGP7uyU543WlMrz5AZ/6pRsOz0t5NNcTooAE4lVk20LhTLvvTdFMunguj7xuEMkYrKyUgvV9asAACAASURBVMHzTAxDAHEsFiGRcIhGbcrlOl1dMbZvX8cv//LDPProZoaHu4lcA8XwdrZsNsWv/urjTE/nOXlyhqWlIkGgcRybIJA6gOXlCtGo/F7XDZidXWZsbAGl4PjxSXbuXMenPrX5ukG5YdtEBgZgaopITw/18XGiAwO4588THRmh7emnie/ciZW7hdK7ti1chw+3nFLqrUue/6nW+k8b//cC5y95bwJ48H2fv7iN1tpTSi0jkaZLCw2+DLx91wB/EPRdKsn8NQyZ02ONpo0DAxJWHx9vcr3rdUHlhw9LFHhqqilef//9Mv9XyT9ZWRHwmkrJEpRICLZcWWkCedOU3YaPkIFyzz3wy78sTWdHRu6e5s+trdKNeHpaxNWWlpqOkMj9NlmV0BTBGhuT03f8uHQ2fuKJG8DkodznxIR4V2Njci1MTIgz+PTTouS0lgX+77ewuOM6bS3u/3f0HadSqjJ/foFMLkXXUDu+rykuFkm0JEBr0tkUpm3Su6mb8yemKC6XCLyATHuaekW4/2hNrreNDTuHUIZi7vw8qdZVpmd0WXTuqYF2GlKeYcfeMOrvICo3NVBRUJ3yXvJ3MZz71mRcPm5TzsNoMlD8fxoNwGLIGCwjVKAA6Gl0Ec5DMAZeL9jbpIuwewJtrUcZ18/D23T/Rn78P/6eidPTTJ+ZZX5sHm1APBnhpRfe4NSBM+z49D10D3VQq9RJpGNryvuvBx7nVhav67OrSfsrpYaRRjqPaq3zSqmOm3DYt7eVywLss1lZ7INAUvmZjNxVslkBA5s2ieJDGP1rbW1GYRxHbhA7dsjdZnp61R0XS6UahqGo1TyiUZtz5+bxPJ96XZ4XCi6OYxOJmNRqLrFYhN7eVmzb4t//+6/wxBPXJiV6p9iTT95Da2ucr33tz5mfLxCNmkSjNgsLRZLJGL7v09+fJRqNMD9fbDRHm+T++zfQ0pLg3XfPs3lzL+3t108CTuzeTfXoUfToqHDCx8eJAFYiQfmFF3APHCD2+ONEhofRpRJGJoO5ljrcvi/X34fbvNZ6z1rtXil1D0IF+txa7eOWW7UqRb25XLNL1MJCc37ncgL6h4elkHdxUc5DLtdsrau1OAh79sjacP68hKxXYaWSLBmhLsDp0wL+Q/+iUJDlJZS5jMdlqbFt+MM/FLXRu9Eef1yW0H/7byXpGo1KMnZhQZgvvt9sozA/L6fwxAk5BWENwJYtNyi+s2ePFHafOiU7GB+Xc51IwN/8jSi7PfaY3BtKJXH41rLTrtbXHflfq/v/HQ3+daBBQaY9gzImaWlLkO1upbJSYfrsLKXlCtVijclT0yxM56kUqzgxm8JCAScWobWnlWQ6wdz5BXo3dlMqVMj2tNHWvcqLQCWlE27tQEPqso6o/IQuqw2qXZp9ocEYkrfMXrDu3JbuVzPpFrwNXemRLsfURQYVA3GMHPmrHNA1ea9+ALzzEH1CtguWpBB6Faa1vixKeO7IOEdeO8HxN05y8u3TFBdLeA1H7/CLx8n1X2DiVI7Df3+UzQ8M09KRBg0D2/rZ9ujmG6IcfJhFDIuB5HVH/leT9v8t4L9orfMAWuufHVHxbFbuqKmURFfLZSkCLhRkwT19WmQ+SyV5HoaeOjub/M9SSfLT7e1Xi9BetHQ6hut6vPbaSaanl6jXPVZWZK4rpbBtk66uDJVGoGFkpAfDUPT3Z9my5e6iXV9qhmGwa9d6BgbaG+PiUyxWME0D1xXJT8+TBmfVqkuhUOX1109y+vQFnnlmF4ahmJ8vrB78hy1FG1Y7epTqq68SvPEG9bfegsVFVBCgtMZ98UW8vj7s3l4qL75I9MEHsTo7QWsiW7cS+9Snmn0EbqaFEpPXZ5PApQVhfY3XrrTNhBJt5gxS+ItSqg/4JvDrWuvT13sQt52FMjIhyM9kZO6WSjLnl5eFd3PihMzxQqGJOBMJ2TaVamq9F4vCA1+lJGs6Lf7D669LUDnUsQ8tTPZUKgJ4R0aazKNb0Vfu4zLDgHvvlWZh4+Py2wsFed11xSFyXTkV1aoM++uvS3zmmWckcD87ew3g/33znxMnpADjzTdFemhhQQ5Ca5EB7euTx4svSranu1uupc2bJeWwFvP/xiL/a3L/v6PBfywZJZNLU6vUGdq+jnNHz6MDTXFxhaHt/bg1l9mxBUqFMplcCrfuUa24xJTBSr5E11AnWx7exPixCUqFCsO717N+x8Cqmz0pI4n2xsB9CwH+PpdJeJoDYLRLhgALrKw4CUYKaj8gMAdRkQevqKN/x5tekglppCAogRFAUEX4/1XAa/QBC8DoaYzTMriHwRxEMgUfbSv5Iu/tG2X67CxOzGbDvYMkW5McevEopmUwO7FAveaJxrevCQC37rI8W8CtuCRb40yNpthw7yBaw9l3xmlpT7Nu883X4677HmcL1xf5Z3Vp/00ASqlXkYvwD7XWP7jeHd4RFo8LoCoWJVR0/HizcHdkRP4/f17ez2YlLFetynW5tCTRwt27m0Bh5075nlXO/0Qiypkzs7z44jFqNa/ReVrheRqlYNOmLrq6WqhU6iJD25lmZmaZTCbKCy+8wfBwF08+ue0j5TTvVFtakiBIS0uCYrGK7/tUKnVKpWrDGfKZnl7G83x6e9vo7MywtFRm375Rhoe7cJxV0CALBaFvhLSue+7BSyapvvgi2rJwz5+/qO6hQqDouui5OdxqFdXainnyJNF770UrRe3IEcxcDmctkFkQyHV4fbYfGFZKDSEg/5eA96f0vw18FXgd+AqwV2utlVItwPeA39dav3q9B3BbWjwuSDqfl8zdu+/KOOfzwtnXWgqBw/lfq0lgIJEQQNjfL/zv996T9WDPHlkDVin7Go9LqcBPfypf7cmt5uLf9eubqjYg/09PS2Lhb/5GKOlPPrn2KpMfhy0vC95ubRVfzPNkjFZWms7QhQviMHV1CdBfWhK8PjKySqG1QkE+cPq0pFfuvVfuBz/5iTwfH5fBD6uNw2rr2Vk5mExGPLj77qPBORRHcseOmz8godbp9dma3P/vWNTp1l20hnuf3MYPvr6XyVPTVIo1As8jnkkQiUaYPjtL70g3vu8zeXKaZGuC4mKJeDpGW3crdtRGGQY7n9zGZ37lsWvq8Br4i1D5DlRfAlZoSlkGyLCaIt+pKxLhVmmpBbC2SoEvBnhn0UYWZd+C9tK32nQARi8E74nDoyIIFS0cJxcZKyV9EYx2wGhQqapgfnTWqlKq8tq39qO1pq27Fd/1OPLKCeo1l5b2DPkLS5SWyygUhqmoV3xM28CyTTzXo1atEfOi0gW4UCaZSZDOpjjz7viagH+NQn+01OdHcX5XYxYwDHwaiQy+pJTarrX+SK7BHWuhkPTDD8Nf/ZXc5CuVZsvIlha5qQ8Py3Znzshiv7wsC35np9xhDEMK/L7ylVXf9EF0/f/8z1/he987yMpKhVqt2dLStg1M0yCXS1Op1IlELFpaEhQKFXbu7Oe++4YwTYNTp2bI5dLs2jW0BgP08ZrnBQwNdfDOO+NMTeWJRqXgWSQ/NbWaTxB4KAXz8yv09rahlKJYrFIs1ujtvQr1olKBH/1Izm17u9zc33qLWqGASqUIFhbQS0vSTjEMOdq2POp1dKWCkUoRlEoEy8sYra2YuRz1d99dG/B/A1KfDQ7/7yBKPSbwZ1rro0qp/wC8pbX+NvDfgf+plBoFFhEHAeB3gI3AHyil/qDx2ufu+MxgOP8ffxy+/nWh9aysCJrMZIRfcvSoIGzPk7UgbOaUSgn/JuzI9alPCVH9Gs7P4iL89V/DN78pu70U14XqNtmsYM9IRJajpSUp7t21S7YZHZVtPs5mXmtlntfsADw11exrEEp+1utN6dPFxWZMplIRTN9/NeHDalV0RV1XIveeJ+mDWk28q3xeBlzrZsohnP+uK05gMil/83k5ER0d4kCuBfiHqwWVbvn9/44D/9VyjWOvv8fkKdHzNkwD3/Pp29SDW/cYPXiGcqGM7wXYts38xALVYpVsbyuGZTJnLxBNRFBK4bsec+PzPP7lh64K/LUO0N45cI+Ddxz8GfDPAksItz+kijS0+6k11HzioEsibRm9H8z1QosBtJEF7yTcjeDfyIiUKabQo9CNh6JJ/4k0ns+BWxe+Pw44W1HqoyugpkancWse2R6hBhmOTa43y77/7yCZXJp4KkbgBZiWSb0qkVcdIMegNYGv8VwfJxHFrwtwM0yF5/ofvtMbMMc0Gfpo2s9HcX5Xk/afAN7UWrvAWaXUSWQx2H+dh3x7WrUq0hChlF/YLnP9elnUjx5thpYcR8JL5bLcIAxDQm8h6Pc8ydd/4QtXBf5aa06dmuHQofMcOnSOiYkFTp6cYnGxRLnsNdQppIGX0DvrVKs10uk4KysVlpYCHn98C5s3916M9Hd0pHn33fG7Evy3tSXp6Ehjmop0OobWMv9NU+a/5wXYtoVlmczMLFGrebS0xHEci3vvHbx65H9sTK6FkKJlGNDdjT54ELVzJ0Y6jQ7bk4bIIuywBOD7aNfFSCTQDUSiTBNdqazNgJjmqrnkVzKt9feB77/vtT+45P8q8A+v8Ln/CPzH697x7WbVqoC8kyflfNq2AL7hYZn/Bw82O7uGBf3Ly5IhsCzZ/tL5f+4c/MIvXBX4ay1g/eBBAbQTE0InX1yU5abZpbtJ765W5ZQvL8vj0UclIREuNaEK5d0I/ltb5fdZVlPhMlyuQYY+VGWemWkG4m0bvvSlVUT+T5+WlEJvgz4ZdtD+wQ8kg5NKNdsT12pyvt83/3FdOTivEbgxzaZ3crPNMK7WMPKW3//vKPAfBAH7f3CQlcUibd2taK15/dv78Vyf1vY0Y8cnmT5zATtiUlhYwa15tK/LUa+5KBQtnQnaulrIZFMUl4q09+d4+It76Bq8em2kdt8B913wl4XH7k0LqKeOAFiNBGWgqWc/CWoYzH7wToF7FJQl3H9AIt3eFfZ255tSFjqyA6o/5CLY9xaRS04hkX8PGTMlmQFrmxQAu+8Q2BtQZvdFR+n9VphfwYlf7iAYpkGmI03+whL9m3rpXt/OmcPjUm5hGHiuZItUpBEMqNbxfY9YSpq5LM+vsPmBjWsyHjXf58z1035Wk/b/38D/AXxdKZVD0oBnrneHt6VpLSLSCwsS7dVaUrxhI58zZwQUWpZEfer1ZlTI9+UzYUOXEBB87nNSLHwV27//LG++eZrl5TKzs8uMj89TLNYalB7ZRmpFNEGg0VozNjbP1q29rF/fydGj5zlw4CyWZbJ5c+/F7T1vbZzNj9tM0+CBB4Z54YU3AAgCzfz8CpZloJRJve41OgDL/TgSsdizZz0LC0UOHDjDjh399PVlP5wSlc9/ECEYBnZHB5XZWayREewNG6gdPNhEHWG0OBJBmSaqWgXfx2ioO/nz8zj3rZEIw23Y4fOOM63hhz8Uh76zUy6c735XQGB3t0T3T50SIDg/L/O+r0/GvlZr8ktyObl+1q0TPf+NV1/zDxwQn2NlRXY/Pi4+RugrXgpsg0D+Hx8XDLphg8Qk3n5blqZQRTT0P+5GMwx46CHJjnR0yPjMz8vvV0qW5pCJYxgC+vfsEWfq7bclO9Lf/xExmcXFK85/OjqE1nPPPVLMu39/84SE89+yBIhXKnICQu9kbm7tov5ay4++PluT+/8dBf7zF5bJX5COrAC1qsvy3DKFhSLzkwvMji9Qq9SIJaMsz63QM9zJzJlZDNugulJhfmaRjv4s8XSM/i295Hpa2Xz/1fW8dVBu6Ph3gj4jev7mrESrMWnKeobRbeR15TUKfDOg+8GfB28MbXahVAyCBbDv3sofZfWhnQfEafLGaDY58xBOfyNDQqTBxzsAKga1PPhj6Mj9EP8S0rzycmvpaGFydIZkS7OIxvcD2jozpNpSzE0u8OCze8hfWGH2/DxWxCTAx7Yscn1Zkq0JaqU6xXyJ/IWCiMB0tTC4bW06LDuGyVDy+iJ/q0z7/xD4nFLqGMKt+tda67urscD8vCzsYbOkel1uAvm8hI9mZ5uc3ny+KfdmGLLQHzsmACCRkDtyd7fwPa9i5XKNt98+R29vGydPTpPLZZiaylOtLmJZJobhNhpYaXw/QCmFaRr4Da3xlpYYGzZ0MjW1yOnTM/T1ZUkmo8zNFdi+/c7q6H0tNjjYzhNPbGXfvlHOnLmAaapGzyWfSMRCa0216uE4FoahePnlE8TjUWZnVxgdvcBjj43w1a8+QSx2hSxgNivO3qUWBES6u6k7Dv7kJIlnn8WfncUbH5f3GwjN7O/HymYJVlZQ+Tze7CzKMDA7OnDW6uZvWWurJvKzYPPzwiEJC3JdV5D4woK8PjUl/P5kUrbdtEkK/y1L5v/hwzLnUykhlnd3Szj+KlapCPjv6xN+fy4nCYV6Xb46DCqDAFqlLm9qlU6Lf3H+vASs+/vlEObmVt1O4I60deukfnb/fvndtt3E25FIkwbvODJer7wimHx2Vrb/1KfgN3/zQwLm7e1w5MjlrwWBnJxsVgb785+Xa+LcOdl5w/Gnr0+2KZUkSDQ7K+/nclI3sBZmGNfUMfpSW6v7/x0F/uuXRNkAaqUq5WKNQEO94mKactOtV+rEkzHmJ/NUKzWCJZ+dT91DealMaaVCS0cLG+8dZOvDI8RTqzghegWJToeUHi369LqKjHMI/kHOTcBFeUv/ghS/WsMNWcs8eOfRRgqM3N3J92+YMlJoIwcYjbFzELnPkP7T4PwTRZwAJdx/IyWP+ptosw8V/eAC3bOxk9OHz7I4s0Q6m8JzPZbnCmx+cBMbdg4wdXqGQ3uPsOdzOyktlTl3bJxSoUzXYAdaa+nr8OAw+dkl2rozjOzZSK63jYXpPKcPnaVcqNA52MH6HQOru0auYhL5v+4mP6tJ+2vgdxuPu9PCTpyhlcuX6+0pJRGealXuGGFFWbUqYaiVFXl0dIiY9O7dq9L0LxSqKKUwDIXvB2gtevXlch3P8zFNE9/30Bps20Jrn0Qigm0bzMwssbhYZPv2fmzbYm6uyJkzs7S2JujouDv5/qGlUjG6u1sbnY0ViUSUxcUqWmt8X8YSwHHsi0XRPT1xMpk4ra1JXnrpPQYG2vnCF65wQx4YEGdudla4Fa4LCwuonTtJbttGfXSU2k9/Svqzn8VbWqJ6/Dg6n8davx60xmpvJ/rAA/hzc1gdHUQfeACrr49gZobqwYPoQgFzYABrxw6MVeq+f6QFQTNM/Ildn13Kr4GmQpfWzbENgX4iIY5/rSbPn3pKtl1eFuB4771SL7QKeddQwSeM1GthjlIuy2UXMg+1bnbxTSQEZ05PS3xi2zYBuaG0ZVubYM21SjTdDpZIiAPwVoPJHgotaS3jFTpHjiOnSWtJxqbTMj6vvSaff+65K3z50JBwsKanZSBdV7yp3btFwefMGdi7Vxp5FQqyViwuCj00dBIeekgcx44OaQTW1yfryaFD4hT090sB+M2QAA6Lja/74zf//n9Hgf9ES1y6tDakHavlOq3tGU4dOoOhFLVynWqlRr1cp14VOo4C2tfl6BzoYN3P9VJZqeJ5Hg8+u3v1ko4qDkojID8B7tsiUQk0df3DiL/mora/roLRIvQg9wSY68AahMg2lDUERufdqfTTMK11U9pUF4QyhUXTUbo0Y1IH1QtBRV4L5iGoQfWncAXw78QcHvniA4wePMvU6RmicYfdT++gb1OP8Pt9cTC2PLyJ/MwSmIozh8/Rs7GbLQ9uJJZsAvrBe9bROdDO+IkJ3v7xuyRbEkSiNuPHJ5kcnebxrzxMLLG6xm8fZo5pMZS+fs7vJ4bcFcJOMYbR1PI+ckTuwLWavBYW/qqGw97dLWBx/Xq5Y9fr8NnPrrqNZDweIQiEz9/SEueVV45TqXhAgOt6eJ5PEIQOrUc0ahGJWFQqLtmsolyucejQGBs2dDAy0svu3UNs2dJHb2/bXan0E1q4Tg8MtLO0VCafLxOJGA0HCpSS+a+Uolp1GRxsp1SqEQSaCxdWqFZrfPe7B68M/h1HmvUcPSpUr2hUorjr16MMAwOwggD7kUfQMzNELIvqwYPY69cTeeghzIbTpwwD5557sAcHcU+epP53f4dqaUFFo7gnTuCNjhL9ylcwQmrA9Zpp3hwQ8bNsLS0CosL5Xy4LcHv7bXm/UpHXyuVmnQcIouzvFypIGDD4+Z9ftapXPN4sTs1mRSGyWpXDcF1xCMLIv1DYmt19s1nZ5aFDkmwcGRHAv3WrYM1r0Bi4Iy0IZOldWpJkbCRyOd0nHLdKRYB+qSRjmkrJGH/ve/Dss1dYqh0Hnn9eBvbkSRnwp54Suc5wY9+X9sEXLsi5fvttOZhHHmk2crMsUXgbGpKijh/+UN6LxeR7T5+GL3951Y3fPtSUWqWE0a2zO+rSS7elWLelj7GjE6Takmg/INABsYSD72kqxSpo8Hyf0lIFwzJIZUX55+Rbo+R624inYsxPLlAt1VYd0VVGCm0OgHdGCn2DhQbWryMA1mr8DbnsGigi0f8q4gzUgBJYg6jII40b391uNdAuynkArVLgnkKafGmggowVyFjZoKWIm6CjmVnxTxG4xzHsLR/49ngqxo7Ht7Lj8Q/mTkcPnqWlI835E5NMnZnBsiwisQhnDp8lkYmx6b4NjSZvkO1uwfd8jr1+krauFuxGsWFrZ4bF6TznT0yyafeGGxsJ3+Ps8nVz/j8xkAV4ZEQk2VpbZXEPOZueJ3fZMOdeLsuCHy7kx44J3zeRkFBeqbTqTr7pdIyRkS6OHp3k/PkFpqeXUUpRqbgYhnFR3UMphet6+L6mUKgQj0eoVOrEYhFqNZdiscb69Z08/fTORjT87rZ63aNUqvHEE1vJZpMcOXKeeNwBxCFyXb/R8bNMJGIxMbGAUgZdXa24rku16nL8+DQHD55j167BD+4gkRClpgce+MBb3sGDGO3t+O+9hzc6CpaFEY/jv/MOQSaDsWfPRZ14q6cH7fu4r72G0dmJatykzc5O/OlpvKNHiTz4fmW9a7SQd/6JXb+l0yKXc+iQhIYvnf/1usxpreW15WWZlG1tMv8PHBAHIFT8KhSaXcGvYsmk4MN33hE2yYULNHpUNPnqhiGPWk1OddhSoFwW5yGUuRwclDKjux30g4D4lRWh/nR0iJ8eUnjCrEk4VpGIMHSUkmXadWXMTpwQzL7nSqWwiYQ4/Feibh06JBmekyflEYnIiXz3XXEi779ftru0LuS11+QzIT2ns1PopEeOiMNwo3abFXjccZfgjse3ku1uZfzYBJn2NL3D3Shgaa6AHwTUpvOgwYyYorldCwgCn8ULy6zkS0TjDkoprMi1/XQVeQDtL0JwodGlt9aI/geNh4mo1xQb/zugbKH5EJWiX6MTIrt+RoA/gAXKRGsPzD6aXY9dmsAfZPxCBSCkRkJFZBvzPqgfQltDKLV6z7laqeN5AUdfO8HKYpFysYrv+li2yejbZ6lV6uR62rjvMztIZBKUCmXcmoedu1z1IZaKMT+5eMPgH4CPlvr8xFZje/ZItP/UKbmxb9ggd9LFRblzLDRojpYl4D9sALOwIOGnWKwZnrsGe+yxTczNFZiczNPbm6VarVGrVdG6jucpIhET27ZZWSljWQaOY+E4NvPzK8RiEYaGOujubuWRRzb9TAB/AMsycRwL1/UYGuogGnWo1XzqdZdarVnoLPV4ogCkdUBLSwzHsVlYKPHwwxvYt+8MIyPdDcdhdabLZdH6f+UV9OIirKygPA/fsnAPHSKoVDB7enCeegqjtZWgWERXqxjZyxW5jHQaf/L9whrXYTcg9fmJXWKPPCKg7OhRmeMjI/J6Pi8XUiiqH5LxwyLLuTl5pFKyJjirv5ZA8OX8PPzv/y2JhDDJKDUsspyEtHLLkueOI8tOuSwB595eOfyfBeAPsvyGlJ6BAQl8V6tySi71gy+tx9Va/DPHkSV9zx6hDW3e3KzLXZWFdNBXX5WTEMrAmqbUflQqckKeeqrJ/y+XP+gQptPildwMW4vmYTdgd9xlaBgG/SO99I+IYsbQjgG+9V9+wMpSCaU1ylBE4w6RqE2yJUG1XKO8XMGy6xQWVjCAoZ0DRFbTROYSU8pGGwmIPCQ8fn8UAknzN44MifKL4oe81CYNrswuiD0HqoZaZdfau8GUstDWVnAPSpG0SjccpjJNhSS4qPhDTV7zzglNyBwEZ5t0+w2WwVw9+O8e6mDvX77K+ROTuHUPpRSlQplauc7C1CKLF5bYtHuILQ9tAiAStS/KxpqXUDGqpRod63I3PBaOaTGU+oT2c8MWds9Zv16eb90K/+t/NZVUwvRq9P9n7z2D5ErP+97fe0KfjpNzAAYZCyywAYsN5O5yyaUokjKpRIq8Kpu6ZbmsKpeub7nqOn1RuXy/2OVbt2yX5Q+6kqwyLZllUSTFJHG5XJFckstN2IQMTECY1JM6h5Pe++HpM2cALoABMMACA/yruqan53SfnvOe932f8H/+T1IiPI2GLOy2LRE/0xSH4To3f9u2yOUcnn12N9PTy5w6dRGtNZ4nDf18XxMEzUuohD09bZTLdYaGOvn7f/8ZGg2Pnp4N4I/fJTBNg0cf3c5Pf3qSnp42OjpS1GpNKpXGJSl/05R6ikZD1LjGx/OUSk127ern8OEdLC1VWVmpXpfxb27fTvMv/gJ98iQ0GlLQWyph1GowM4OenUU99hiqFdFXjoOyLLTnodYY6bpWwxwa2oiLse5M031cBYYhsp67WkIdjzwC//k/X9pALZ2O53+tJvPetsWadBxxGK4uu/gLiCQrn31Wov9nzsjrUQ1AJCi2lp7S2ys2Z3+/tBFoNG6myfPdB8MQitNPfiKR/2g5rlS4bP7HflrUkqVcliLpJ5+MNR2uy/jfuRO+/GXJ+EYOYKUij7k5qRV49NE4A+A4cQ+AtU565LltxMW4zoDTrcZdH4Ia2jHA7ke3s+exnex9BVu5KQAAIABJREFUfBdDO/rJdKRx0gmynVmshEVxsczKQpGpd6dYWSiydd8NNnFSSTC7pYBXayRiHSD0Hxeostq9lobQg5QtTgAeGEMo4ya5o3cZlL0P7IchWG7JmkZyd5Hkp9l6RApAGVB9kimwdraUfrQ0SrsObDuwhfxknmqpjp2waNRdAi/Etk081yfwAiaPXuSP/vl/58df/Rluw2PHw2MszazgtXT/q6UaYRCw5YHhm74OTd9nsrByxcd93CAiLu+BA1KctW2bRG/S6TiEVC5L1H9qSn7uurbC1/shlUrQ399GsVghCETZy/dDmk0f1/UolxvU602azYB63SOfL5JIWPT0tBEEmpGRHjrWqFPdCzh4cAtPPbWbhYUiQaCpVsXBF5UkMfwty8TzAmzbJJtNMjDQzrZtvezZM0QymUBrvb6Ov2tgHThAeO4cFIuoZBLdaEDLsFfNJobvExw9Sv1f/AsaX/kK1GpYjz5KODuLbhkLYamEdl3sjWj6FRX8XelxHzeGsbHYiDt8WOZ2R4dk+Do7xeBaWhKuzrFj0pL3BhWdoobi5fKlRn+zKfZluSy2YlRjPD8fi8iEoQSa18k02jQ4cECyHfm8XK9SKS6Mlvkvz6PC6VxOSrS2b5dofyp1Q4kaqbC+cCF2/BoNGZioL4TvC6foX/9r+J//U5yCQ4ckyh85C+WyvO/AgZu/EFGtypUeHwDuusj/WizPrXDx1AyWYxH4AeXlCoZh4KSSGAaUVyrUyw0My2D3oe08+ZnDhGHIsZ+c4qnPXqmfwpWhrO1of1yKeIMy0tk3Kva9XMO1S5wFKqBMMIdQzi9yUzc7lDLQZi8Ep8DIQJgkrouwkVsw6vxryMNIgTbBfQtNE+yHUcb1yeQ5aYdcd5ZcV5ZGtYllmQSmwrBMvKZPvdrANA3stMORl45RrzR5+jefwE6YnDkyidf06ehr49HnD9DWdfMRu/sFv7cAi4sipp1KyWJeLsuOkkzKThL1krdtifY995wswu+8I8+vE3v3DnH8+EU6O3OsrFQpFut4XojWmjAMV4sCRW66jVQqQblcx7IMhoc7+chHNq+s75VgGAb9/R28995FMpkU6XQC1w3QWmNZFrYt8SffDzEMhWmKKpBlWbz22jiuG3L48Da6u68vaGKkUphdXQRdXVCroUwTTBNtWbK5VyryWjqN/6Mfoep17N/4DZRp4h05QthsYvT0CC3oMirQDV6I644238c1MD8f87mbTTH0lJLrrJQ4+uWyWJcHDkiBKEivkN/4jUuVg9aB3buFMt7ZKZHoqJdYZL9FDEOlxElIp+X0pikKwx/96HWf8q6HYcj/fvSoXI90Ou7ua1mx7r/vx3UT6bS8/vrrcn0PHbqBjEkyKQPVmv+rXkaUYqhU5LVMRvRb63W5JwxD6kOaTaEDffazG5OuuQNpf3et8T919Dzv/Pg4TiqBaZl0D3ZiJUymz9h09HnUKw2mz8xiJ226BzroHujk1Otn2fv4ThZnlqmV69ct4ajMAXTiCXBPiGznarFvpO8fsNroSyWApET+k38PI/nsRv77dw20DqH2DSAA5yC4AQRTiAMQ6f5HtRMayEFwAXRFuiMHy2B7aO1flzJSKpsk15Wls7+NwlyZarkqii0IxcBQBsXFMolkg8pKhWatyfSZWXY/uoNtB7YS+AF2YuMmazMImCzej/BvGCYnhQzqOLKoDwzI4nrhgiz4jYZI/aXT8vvgoER6HnhA8siRHvh1YHCwk4997EHeeWeKxcUyStFqWkWrYZXGsgy0hkTCJJWySSQsvvjFD/GpT21iTb+rQGvNn//5T2g2fR5/fAdBEHD69CyuK8XSSkGt5q2qJbW1ZZicXKBUqpPNplhcLBIEAb4fYNvXsV1lMqjublRvLywuoovFSyVZQJzHVAq1vIyu1QhPn8Y+fBjrwAHwfdRGp+kj7/A+bh6nTkmDv2RS5n3UwTeZFGOtXo9VYHp7JUP4+utCIs/nxTG4zjB8f79QxN97T24dmf/yt4j7H/3uODGT5POfF3GhexFaS2C9VpPETBDIMuy6ceS/Uomdp/Z2SdCWSpIFyOflukYdgdeNVEq4Rr29MW8oCOSEEc9oaUkooX19sl+cPCk8owcfjE+4kd7aHTb/70rj3224HPvZSboGOrFsMbazHRlsx+apzzzG1LGLnDkyge8GOBmH0d2DpNvSuA2XyWMXGBzrIwxuLNWirFG02Q/eq4ixHxmtEW/dABKgWnJk9sNgDW7I/31XQhcguAhhAHpGnCHVA3oZyZpE19ACOhBakCVKP2ofpD4C/iLaGwd7O0qtbwUwDIMP//oTvPY371Cv1AiDUHTFfR/DNPBcD7NlTIR+wOzEvHD7H5X3GomNZcQ5psm2tnss53ur4LoSve/piXfbXE4W649+VCTbTp2ShdtxhBoQKYJMTIihcIOp1rGxXkZGunjppaOtJl6aINCSRbJDyTw6VquTvMnTT+9kdPQeIvpehpWVKhMTC/h+wLlzi1iWycBAB/l8Ed8XqVTJAig6OjLU601M06TRcHnooa18+tMPk8+XOHFilgceGMK211c0p5TC/tzn4DvfQZXLaN9HBwGB56GUQgWB3C8tOo6enCQYHsY6fBh1K/i5UUbqPm4ergsvvyzWeDROHR0ynp/9rPC833or7iC1d68UbrquhKB37LiJ+S9+xPe/H0tWBoEsQ5Hqj+PE/P8PfWhdDcQ3LYpFUcsMAjHqTVOW37k5sa/XZgG6usRni1q1PPywyHwuLMiwPfjgdTgASolE5ze+IZ5E1FggkoBey+0PQ/mSfX3y+62Y/2s9xTsEG/JtlFKfBP4TYgH/sdb63132dwf478AhYAn4gtZ66kbPV1quSFX9ZRtBIpUADZ/+3ed5MZlAKcWp188w8W6TZCZJ72gPXtNl674RMu03loLV3gnAbhX7JhC6z1rd+iQY3avKPhi9KGMD0sZ3KbQOpLOxrrR6HnSAClq1viUkA5BBbsWoXiIEvQSqBv4yeMcgnEX7Y2jrAZS9/5qKSYEfcObIBN1D7cyf92hWmximIvRCTMfE90IsS9M93M3I7iHmphZQxq3LyTaDgMmVzRn5v93zf3Uxv3wxTaVkIf/1X4cXX5Rd+NQp0YFPpSSN67oiKH2Duu3vvnuuxVdXJBIWzaZErZUSwz+VStDX187wcBdPPrmLwcFOBgbu3c6uYRgyN7dCoVClqytHT09WJHaB5eUKlmWQyTirfRFc18NxbObni1SrDRYXaxw5MsvkZIU9e4Z4+OEhDh0avmaPFh0EqNdfx+7vJ3Bd8H20aWL5PqHjrJKMjaEhjL174dy59fd9uY9LcNvnf6Eg8/9yAy2TEYP/H/5D+OpXxeD6+c9FozOTEUnHKDx/g+T7Y8fENowUfSJxoSionEpJsHlkRBRoh4bihuT3IsJQ2FkLC7L89vTItQpDCchblgyN44jh32iIj5zPi+OwtCSqnePjkrQ9eFCSN9cUzglDyfQMDsYysKYp459MxkUGg4PiHJ4/f8ep8dxq3LTxr5QygT8Efgm4CLyulPqm1vr4msN+F1jRWu9USn0R+PfAF270nAnHlmZfoaZRa0qAL+0QuD7JTBK34XLkxXd588V3aZZr+H6Ik3aYncgzuL2fQx8/iLrRdI4/1XpS41J1H81qwy+VAmsAjDawd7YKfu9RaFc4/EFVKDzUEYdpCTH6XUQeNboVW11/VQZ0HdxX5Toaw6IY5L2NVgbKvjp/em4qz5EX3yXblqHt4Ryl5SqNap1mqwFce0+W0b3DDIz1rd5DXYO3NjK/GemeH8T8X43YRJ09I4Ufz5Ofris7xhtvSL45MhRyOYnuPP74uht8XY4zZ2bRGiqVBo2G2+r8C2GoV+kp6bTD8HAXnZ1Z9u4dpr//3m3u1Gh4pNNJSqU6i4tlqtUmruuTzxfJ5RwKBY9azceyPECtZsbb2lI0Gh4vvXSazs4UW7d20dOT4bXXLqCU4rHHri7aEJ47h/7e91AdHVjd3eiVFXSlQtBoYNTrhN3dmHv3YmzbhqrXRWx4I1R9roQ7kPO7EfhA5n8iEfNEqlV5LZOReZ/NigPwgx/AN78Zd41KJiXrt3WrNIe7wfl/+rScNionilRr1tZzp9Nxce/evcJIvFfRaIhDZJpClYp6LObzMlSlUmz0R9BalmrXlWHs6pJh6+mRJV2p923tcSkuXoS/+Rs5ycMPC+2nUonV33p6pA5s27b45LfaS7vDggsbEfl/HDirtZ4AUEp9BfhVYO3k/1Xg37SefxX4L0op1WpJfN3IdWVJphP8/DtvYphKUrxJm8GtfQxs6+Plr73KyVfPUFkqo0yRlKyV64BmaOcAHX3Xtxlr7bZoKClp8lX7BmKwRsW+LYN1VTypDewnUc5hKfS916p81kKXIHEAGj+D8DxoA7l2aUQdKaq7aBLXTxiSPdEBUGqp/3SjlIk2+sA7gbb2IvvO+2Pq2Hnq5TqpgU7qFVH8Sec6qJZqpDJJtuwdprhcoZAv0jvSTfdgF10Dt874d0yTbe2bkvZz2+c/7e2y2f/0p3HFmGUJDWB4WJq1nDwZF3VFRV7VqhgOXdfnjLuuT63mksk4zMys8OUv/4hisYbrSmdfaTiqMAzpPt7ZmeajH93Ps8/uY2ys956e/4VClUOHxvjhD6ucPj2PYSjKZWmAVio1yGad1YZpQumRrsC9vW34vmJlpcTgYBsDA+1YlsHgYI63357h4YcHr9odWZ88KZbF4CCqUkElEuiBASiV0JkM1r596EgFZmQEc3AQdSs3/01q/PNBzP+ODnl861uXkuxHR4XS861vib5koRC/p1aTMPKWLddt5HmeLB2ZjIjBfPnL8tGRNGXUcDgKHHd0SGOrj3xEKD93mM13W1Esiu1dKsmSbJryPJ2Wn5mMGPuNRjw9ooJpEJt9cFAeliWZlHffFYXXq06n06dlkAYHZR+wbfHCSiXZIx58UO6HhQX50IMHJV1zq6DUHZdZ2Ajjfxi4sOb3i8Dl7RBXj9Fa+0qpItANLN7ICb2mR7PukmlL06g1AEWz2sS0TIrLZV7+q5+zOLOEMkRGDmWgfB+v6eO7PvnziwztuLY7rnWI9o6Bfxx0CNqDxitItNpCjP5Ipk0BHWDtBXsHGA6Yw/f0xg+0Ivim9DqgDfR0K1RSR5wlm1guNdoLsmBkIaxL1sR+CKUkxauUjQ49LimuXoNKoUp5ucL8pNB45qbyJFtdRZdmlyktlXFSDjMT89hJm/6RHjLtaXYd2k7nLYzQNv2AqZXCtQ+8+3Db5z+uK49cTsJGUfdU25ZN/uWXZWGP5CNMM+Z8hqGEndax0IdhyNtvX+DNN88ThiGu6/PCC0ep110SCRPfDwiCsKXwoenqynHw4Fb27RshmZTGXvf6/M/lUliWyfBwN7lcmvPnFwlDTb3ebHVHtnCcgGbTk/VWa3K5JO3taep1j87ODE88sYtkUua/bZutWoHw/Y3/UglWVlCTkzLuk5Oxys7srIQf02nUxIREg0dGUG1tGI88cmuNfyDcnM0dP5j5X6mIlV2p0Koaj6tHv/pVKfyHuGgzCMTC9DzhkKxDvjUSBnvjDXm768L3vienihp6Rc2qlJKv89BDQk9JJiWofC8b/iCBd8cR+zqbFXZNEMTc/kQiTtZqHRf9trfLMdksPPFE3HTXsuJagfc1/kslmeOnT8sJJibEw4CYf5RKybqQSokjkM2KN3GL57++w/aCO6oCQSn1j4F/DLBly5YrHpe/sITWcPAj+2jWmoShbtF65vj+n/0d06dn8N2gJb8XYjsOTsrB93ya9eaqjvu1oP0z4L0NxgDKMNHu6VahagYoEheqRoZoA/yLQL0Vua6Durfl3ZQ5iFZJCPIIJSoHqgzKEqdAGaCjWdzS+jcHIPG8qAIZfSgj1kbXYRWMdjluDbTWnPj5ac6+NYlSitNvTVLMl8BQKMMgDAJq5Tpu02N07zBOKkFxocxKvkTi7By/9n986pZyfjdx5H/DsN75z+Ki7BKPPiq7bxDIDjI3By+8IFrevh+H5SLpjbWi3OvAiRNz/OxnEwwPt2NZJidOTDM/XyGXS1MoCN3AsozVyH+j0WRqap5qtUFvb45KpUHuOhXFNhuGh7vIZh2mp5dx3YD2drl2rmtgWapVk50AGnheSCJhMjraxWc/e4jx8UV6e3tpa4vX0ErFpaMjSTJ52daltVC93nsPlEIfPSoqPmGINk25D0ol0fjftUscx1bXVzU+jvH7vy+FvrcIUhh6Z23+dxrWPf9nZsSIf/ZZsRCDQBy8yUn4sz+TOp9mM+bjOE5MC4z03teBU6ckgTA0JIbmqVPiP+ZyElSOuvlGkf9GQ4paKxXht5fLYsTey4iM/osX5bK3tUk033Xl2mktQxPJpiYS8p7PflaGs7v70mtYq8n1T12+rGotXtobb8jvR45IkAfiTu/FonyJHTvEU1tYkGPOnoV/8k9ueWQ+DO+s+b8Rq900MLrm95HWa+97jBK9xnaE9H0JtNZ/pLV+TGv9WO9VtFXdhovRKs500g6pbBLDUCxcXKZedQlDjWkZGEoRBCH1Sp1qsUqz3kShSDjX9nm01lJoavTG9BKlQWVBeUAncfQ/RAxXhRQDV6Hxd+ggf83zbGZoXUe7b0FYaSn+rAAhqHYpiEaBtsDICaefLaB65ZjGX4NWoEto/6J8VrgMugz2o78QUV24sMjpNyfoGuqiVmnQqNTlPjANvIaH1/RJZR3SbWmSGYf2njZG9w7RO9JNMpdi6tiF9/kPNg5Rwe+VHncxbvv8v6QpkuPIxm8Y4hQ0GnG/+OgeaTTESPB9eX2dqitHjpynvz+3GmEOgpCOjjSuCz09OSzLakWrQ3w/QGvpBFyt1vn2t9/kwoUbC2xuFtTrLj/72SlKpRpTUwutRl8hnZ1Zhoc7UcrEtk1yuTRbt/axc2d/qzha8T/+x08Jw5BKpcbU1DLVqsvCQpVCoc7TT4/9YkZldlbCtH19UCxiVCqYSmGkUijfXw0jGm1tmLkcZk8P1t69WCMjmLmcVHLeQmziHl+3f/67bjy3UymxLg1DnIJiMa6+NQx5XqmItR51AV9nsf+RI0I/WSsKE3Wp7e4WQzWKVvuteKJtC0Xou98VR+BeRqMBr7wS91dcXJTh6OyUxGvEhMvlhNO/c6cwcyxLmrb7vlzLyUkZwsVFKRJ+5pn3yajMzMCrr0r0vl6X+0AW5LjrWjYrJ8vlZAD37hWqWHu7BA1uIe7AHl8bYvy/DuxSSm1Tws34IvDNy475JvA7reefA166Yb4f0NnfQRiELW1oQRCEVFZEMHbswS3YCZswDAm8kNAP8d0AwzSpluv8+KuvcPrNcd57+Tinj4xTLdXe5ywhUtC7JsJsdIHqAl1EMpYR/QTiwt9Sq7LThOaPbvRfvOuhdYBu/Aj8CTCHwNrT6tJrgrUTcZYcoAhhEcIG0Ggxf1o9AJQNRq/UW2gTzC2o1KcwrF+kbJ0/OU26LUW1UGV2fJ7+rX30jHRhGAaZjhSe68tC7YeUFsu4DdlxtXxZ9A1Kv64XjmmyraPzio+7GLd9/tPRUs9Zu2qGoewQIETbaMdeq8cXbQQ/+5nknycnJUuwttqsBa2lG62zJlDQ19dOb2+OQqHK3FwBz/NWmURR0KhQqKK1wrZNvvvdN2/4X7zbEYYhf/M3b3Hy5AwjI90cODBKJpNEKcX+/cP4fkAqZVMo1FhZqVKr1alWpfC+2fSxbYNEwmRgIEWlUsayTHbs6OZznzvAyMj7qCdF6f1SCSYmUFu2wPAwhmlidnRgIaEaIwhiJ3Et1pkNuhlEhuL7Pe5i3P7539MTW1MRgkCofloLnzudltcikfhI3aVSgf/1v8Syf/llaehUeH86ZqVyaZygp2fVt2RuLk46RpF/kI+SPh9Sb3qvIgzhb/9WfOrRUaHUR+yb/ftlOFIpuV7Ly2LkR7XbtZpcv4imX62KQzA2Bp/7nJRt/ALOnBHjvlwWys/oqHgYhiHGvefF+8DSUuwIRk5kELzPh24s7rT5f9O0nxaH7/eB7yHclz/VWh9TSv1b4A2t9TeBPwG+rJQ6CywjC8QNo6O3jbEHtzD57jmS2SRaa5o1l20HtzJ7do6BsT52Pbad9358onVxQ0zLJJV1CDyfl7/2KkdefI8nfuVRnLTD6TcmeOLTj9I7EktySnFpP4QliVQDmF2Ise8hHHXV+peD1qMux4U2YEDzJ+jMb69bm35TIcxDuCS0H63B6gPdDv55oUapJOJYlblUNcmAQIlaEjWRCDW7Uc6jKLPvyqcLpVBwOV9AmYrKSpXKcoVKsQYKwqiDaKuj6NL0Mm09WcyExdLMMudOTqO//iq7Ht1O/9aN12Vv+gGTy3d1hP998UHMf9rbhVA7Ph7nf+t16Qk/NyeFv3v3rlJAVoWk0+mYyDs1JZIRyaTkpPfsiZ0KRCd+y5Yu8vky3d2ya3V35wCF6zZpNkXj3zQNfD9s8VjFgEwkTAwDXnzxPf7pP/0VEhvYLO5uwexsgbm5AqOj3WitGR7upLMzw+RknomJPKmUQzJpUSgE1GqSyRUahQEoRkd7qNWarKxUGRzs5KmnhhkevkqhtjRWkDS+UlAqYVQq6BYnXEftVyMx9pkZif7ZNszOosbH4WtfEyrZLRBmX8sP30z4QOZ/V5dUkR45EkfxKxXp4js+Ljzuw4elc2s07pYlx4ahFAT/3d9J561MRiQhP/UpCT+vwdatcpv09Mjv3d3iP3hePJaRemQYyhIEYrhalijV/LN/JsnJew3z83LtRls5oZGRuIHX+LgsxcmkGP8R/z9Sb1ZKhrDREMdgeBieeuoaZVqRBb2wsDr/WV6WE0QthJWSwVEqHljblgDQ6dPwV38l83/btg2/HpHfcSdhQzj/WuvvAt+97LU/WPO8AXx+I84FsjE/+PReBsZ6mR6fwzQMhnYNokPN1/7jt6gUKqSyKTr6cpSWKq2iX0VHbwduwyWdM1CGwdzEAgef24fX9Hnnh0f52G8/cwnvWyUeQTe+jw4WRelHlyGYQfT9I7qPich+aiAyaBOII+Ch/fMoe8dG/et3DXRYJUosKaXQ5nbwjkJQlLoJ3UTUfiLKVMTr94EyhBaoRyBcArNNov9XwciuQWbH59CBZnZ8nka9SYgilUlSLdRIpBKk29KEfkCz5uK5HuVihTAI2bJnhPaeNpo1l59/+w0Of/KRdRWEXw8UwhrbjLjd8x+Qjb6/XxbxaLdQCv76ryVUlE7HxNuIAtDVFbeWDENxFPbtk1V5YkIMijXz/4kntvH1r7/N3FyJTCZBudxgYmIGxzEIQxvfl6LTarXR4q5KR99k0qbRcPF9nzNnZtm//yr85U2KarWxSs1RSrF37xCvvTbB0lKVfL5Es+lSKtXROqTZDMjlkliWwvNCCoUalrXCU0/tZmmpTFdXlnr9GtyYbdtkDIMAzp1D1etoQOVycg8kEuhMRu6Lel3ug4i4vWcPRl+fWHTf/S584hPCQdhARLSfzYgPZP4/9ZRYlmfPyrzfuVPm+X/8jxLZzWYlTL+0FFMAe3vjDI9lyf3y3HNyz7z0EnzpS5fwvg8fhq9/XZaJTEZuo/HxWJs+YhHWanIbJZNxAWvEMjx9Wpaqew3V6qXUnD174LXXhO8fZU1KJZkXzaYwcSJHqliU9374wzJ8XV1xoP6K2LFDmrtF3cTWUrwKBfHAOjpkEtbr8jPqF7Fzp9CFmk349rdl/u/Zs+HXZFMa/x8EDMOgb0svfVsujdJ+/B88xzf/698yP5WnWfNIZVOYlolhKhrVBm7Tozthk8w4eJ5HpVClvaeNxekKtVKdbEdcXKqMLkh+Gu2PQ7jcauwVadKnkWh/k1jBvSX3qWtSyKr6oflTwuAcGB0oazvKuDca/igjhyZOyyqzF+1lILxArJIUXTuNOAIOklExJOOiV+S5DkTr/yoY2NbHlgdGeO07b1JaKhEGIal0gq7BTuYm8/h+wMjeQZo1l+Gd/Zx+fZxapcGW3cN0DnZw+rVxxg6M0tnXzolXzzC4vX9DlVoSLdrPfWwQlBLjv7//0tc/9jGJ7C0uykYf1QNEbSOjJj+JRMwHbm+XnajRiJVhgO7uLL/1W4c4cWKOfL6MbSuKRQkmZDJJgiCk0fBWqcVKyanK5QaWZTA01MmLL77DxMQ8nZ0Z9u0bpasrd5sv1AeDtrY0a5kdfX3tdHammJiYa6n1BDQaou0PUK26OI5FoyEdeAuFGvPzxVVVpY6OawgnDA/Lhv3978vYhyEqlYKxMfTUFMrzRIalWkVv2yZR43IZdu8Wff8jR+Tv/f3SGGr79g2VaonujfvYICglxn8UWo7wpS/BH/6hUPqqVTH+Iue/XpfHwIBY6L4v1mh/v/xcWYnD/IjR+fnPS6Hv3JzYj8WiBIstKxYQiraJaIwjheGREbkdz52TJWbfPolH3Atoa7uUldXbK//72bNid/v+pcy7alWub5RRKZXia+77lyRl3x8jI8It+va3JfofCT1s3y7OQLMp60OUIT5yRIz/nTuFR/T66zJAIyMy/3ft2vAJe4eJ/dy9xv+VsOOhMX7v//kS/9+/+nOUAW7Dp1FpoMNwlRqiCOns7wA0YahXNynzfVrHKyOHSjwMQFj5n6A6QEe1Si5ixEab3BrJSt0JugDhRQg7IVhEe6cg+fxV6SubBkYvmIPocBZUt9B3wrNIVqSBOAAGcs00YgQESObEFufJOwXWEFh7r+k0GYbB/g/vpbhYwvMCJt49h2EqPNenXm1gmibL0yuEoWYlm6S9t4PeERMNTJ+ZRWtNeaXMs59/inqpjuf6JJyNo2u4QcDU0uaj/dxx2LYN/tE/gr/4C1m8m03ZZSJyZbSgR1r/a4mX76P20NaW4oknJA38x3/8Azo7MywslNA6oNn0Wx1vBatxAAAgAElEQVR+5djIGQhDTS6XZWWlysTEPL29beTzBY4ePc9nPnOY4eHNbwH097ezdWsv588v0tOTpVJpcvToBRzHJgjcFhtDBBlAaoR8X+E4Fo5jYpoGx49fYGSkl1/7tS309FzDaTIMOHRIQoXVKhw9Kq+7LqpFGlZzc2IULC5KVHh0VMZ9fDxuOfrrvx53IlpnYfh6EIbriF7ex81j/374D/8B/uAPYgH5ajUm54M8jzpvRa+F4ftqR7a1SQYAREgoKviNaFyR1j/EBq3WsrwUCuKD9PcLDeboUWEaXe6vbEb09oqNPTEhz2s10ed3nDgCHimwRvB9ick4jizFx46JXf6Zz8S6/1eEYQiNc3lZBuG992QgIlnYiOoXKUN1d8tA+L7UC0Trwuc/H3cdS2+cUuOdmPm7q43/erXBmTcnuHBqBss22XZwCzsOjpHOpRnbP0oqk2RlfoX8+SVmxucwLUW6M0N7TztOOoHXcMl2pCnMFxkY6yeVucZirwtgjop6DZEhFxmvIJHrVOu1WfBtcJ5pSVVm0GEF7b4JyU9uev1vpQxwnkZ7Z8A/A+44BD4S7a8TU6ciRM3SWj+1DZhgP45ynrzquaqlGsd+dor8uQUWLi5hWiZPfeYQp9+cxPc8nFSC8kqVlfkCyWyS6TOzZDoyaJ2iXqnT1pVDh5pCvsjxV06z+9B2rPdxBG8GCdNkW9f9yP+GotkUw212Vhb3rVtlt0in5XkiITtwPi9hJNOUGoHubokIRpmBalUkKK5Bzl1eLrNjRx/lcp2FhQagCQK9Sjd3HIt02iEMQy5eXCKRMPnEJx4ml0uRy6WoVOq8/PJxvvCFp++B+a/4xCcOcvToBY4du8CJE9O4bkiz6VGrNUkkLAxDobUiCHSrflOjlFxT27YwTYOnn97N889fQ5O9VhPLam5O7oX2dviVX4kF2qPU/9KSjPe5c3IfRBmfri7ZnfN5UQx5+GG5dzb0esT9qO5jg1CvSwT3xAmZ2w8+KGOXyUgWx7Lknrh4Ufg3liVj3dcn90S9LtZ8q9HbtXQ5l5elHKRUilUkI76/zP+4rGB6WnyJj39cHIi2NllmXn4ZvvjFzZ8FUgqef158rKNHhZETtWeJ+iQYRsyFDwL5XalYQtWyhN31S790jah5pSIiDhMTMv9BPIbXX5cBSqdl7kf8rYmJuO3wyorsB9H8f+UVuYduQaHGnTbmd9jXWT98z+eVb73BxVMztPe24WQcjrz4Lq9863W01nQPdmA5Fm3dbXQPddE/1kMyl1rtDrw4vUxHXzvFfInOgQ4OfuSBa5/U2gKYYGRakpQ2cWffNML9X0SKWFvNq9xX0GERAGVkISwg2YHND6USKHsfGAOgTFFLIoXw+mvExn4ED/FHM2AfhPSvgr3lqp18fc/n599+k6WZFboGOxl7cJTSUpn5c0uMPTjK9Jl5qoUqlm0SBpqEY+OkHLyGSzqXwrYtvKYPCqyExfy5RYZ3D2645r/rS+T/So/7uE74vih1TE8LYTSZlGjPG2/IQt7RIQZce7ts9kNDclxbm+wqxaIYAo2G7NjrKPLavr0fwzDI5ZIMDXWQSFgoFWKakMkI939hoUixWF1tRvXii++yvCwqRNlsikKhsloYvNlh2xYPPzzGli09GIZBb2+OVMrG8wKq1SZBELYi/7IGuG6AaSra2pI89tgYX/rSs+zePYBpXmUuBoFs2IuLMp67dolRt7IiafypKbG6oih+Oi2PMBRDIJGIuQaJhDSHugUp/yCIFU3e73Ef1wnfh+98R8LD3d0yt//u74SkH4bC4bZtofEMDsr8zmblHsnl4oLPpSUJK3/sY9c85diYLB25nCwnUe2oYchH12piPxYKcuogkKLfxZbibyRGda9kgGxbmp5Fzc56e8Xm9jy5BpHRH8Hz5LhcTpJ4v/M7sHv3NZxm3xeqz/nzMs7798tFPntWnMGzZ2UtsG05Nur5EATyZSKuUVQMfOFCXD+ygYiSEFd6fBC4a2MR+fOLVFaq9I50U1oqM/7OFG7D4+xbU8yM5/GaHvlzi1QKFRYuLNHZ387o7hEGtvfjNlx2PbKN/R/ag+3Yl/D8rwStPdA+qKJQWHQNMeKjbEGAOAEh4IhzYPZKlsA7iXYeF+46YatRlXVVo3YzQIcFdOPH0PiByHaGM4jRH/H8L6+AsRDKT0qO1y4YV++6t3BxiWqhSu+ocDWT6SSPfeIh3nv5hKhA1Zu097bTO9pNMu3QrEkfiKXZZQxDMbxzgMXZFVbmC3T2d7DtwBa6B6+iKnKDSFgmY/cj/xuHpSXhbHd3S+Tn3DnZPSYnhfPp+7Lr1moSsmtrE154f78cNzYmikCW9T4dY34Rvh/g+5pCoU6pVKdSadBouKRSiVa0KpTCdq1xHJuhoS4GBtqpVuu89dYEH/vYQYJAPqNSqZNIWO/foXYTYWWlwve+9w7f+MZrJBIWFy4sUq02V+utg0sq4BSWJRKpmYxDImFTrzcZHb0GRWphQazniKudTIoQ+BtvyNh6ntwjw8Ni9DcasvFfvCiWxs6dEi3M5+UzDhwQy26DEQkN3ccGYXpaxmx0VIy7t98Wp++tt8ThCwIxCAsFMeh6e4UWsmOHGHsPPihNwhIJyfpdAxFrqFiUR6UiH5NKxdHqSFgsalTV3x8nJz7+8bgfQOSLbvZMUKEgPRe/9jW5Jhcvxgwcmf+XHm+aMkdSKbk+tdoVZD3XYnZW1veIS5VKSargxz+WkzQa4vBt3SreV9QUbmZGjt+1S57Pz8txDz10S3hZSt3yHmLXjbv29istlbETFm7D5fQb4zhpB6UUSzPL/Pzbr9Mz0k1nfwez43OEQcjKXIEte4cZ2yfdJVbmVsi0p0kk15fe1d4JMfrtp8CfadFSIq36SO0HRP3HaynapCGsg24Vs+oSqAw0vodWNjrxOIa1OZVAtHbRjRfAPQHhokh7hvOIg5RFCqfXRv1NVmsAdBm8d8B5GmVdfSLWynWMy4yodFuaHQ9vY3BHPydeOY3vBSQzScIgpFFvkj+/iJO0mTp6gWQ2QaYtzSPPH2Drvi2UFopk2ja+K6vrB0wt3o/wbxiq1Vh3b2IiDsO5ruy2XV2yqS8txbv28LAs7ErFChDrpHe8++55lpbKPP/8g5w/n8e2TWzbIpVKUK1WCcOg1XhQ4Xk++XyBbNahUqlTqdTJZpOsrJTJZlN8/euvkEjYPPPMPnbu3HhD806A5/l87Wuv8vbbU8zOFkinE1y8KLVS2axDudwklvdVmKbCMMxVB+v118/yy798kJ07+692mlhfcS2yWTHuenvlXmg0ZOMXPVaxQhIJoYKkUuIYPvecvGdhQUKPG4xWg+H72CgUCmI9N5tC73AcGcvZWckIDA4KlWdqStaI+Xkx9PbtE+tzelruk8y1A38gScX5eTHip6bk9vG82EiNotYgBn4+L7dRpSLjHknQp1LwjW+Ikfv00xLZ3ozwfUnCvP222NaZjPhgINeiUrm0INg0Y7nPSkWUgT72MRmyq6JW+0VOUC4nRvzu3XJv1Ovx/K/VxCl0HKGLZTJy/Ec+Iu+Zn78lbZnvRKnfu9b4b+vO4TU9CnmXUGvqlTqzE3lq5RqBH3LsZ6dJZR06+jro786htWZ2coHhXcv0bekRrpm/Pu0lrTX4p8DoAR2CuROYaVF4agjFp4lsZBq5rA0IpoAEBA1o/q0Uwaa+gDKzaN0E92W08SlRFdpsCObBPYZ09E2BsoT6Q0KuYzCJXLNoBYicqXrredTF8erc6PbuHOFlDbq0liJuJ52ga6iTlbkC5aUyhYUyOgzxmj59W3tRQK4zS1tXlvJKleXZZbYf3EqmfX0bwvUgYZmMdd+P/G8YInLtWr24+XlZ6LWWdG8k79bXKrCPWkRGTYKuQ3vtnXfOMTDQwdzcCvv2jXDuXJ6lpQqVSgPHsanX3VbTQZn/tZrLqVPTOI5Nrebyl3/5U/r6Ovi93/tl2tvTNJseL7zwNrlciv7+zXdfzMys8NZbU3heQDbrYFkmlmXgOBaDg52cPj1Hve4SBK1O7Y5Ip9brLsmkTbMZywRfFZfLikBcwJ1MytjPz0t0eHlZjvU8cQQh7vZZqYiVsm/fuiLB14uIE34fG4TOzji7FxHvJyZkPfB9sR7ffVfGeWxMBuD8eckQbt8uv19HBeY770gkf2FBmCVTUxJXqFRkXCO5zwiNhqgEOY4sSV/7miw7v/d78tWbTVECyuXET9lsmJ2VJIzryv9oWWLcO45kRU6dioPwEIuv1etxIlapdSjkdHTE8z06OPo9k5GLOz0t839hIZZoGh6OizR6e8WZnJ6W+d+18fbYnVjzc9dy/vu29JDrzrE4u0LoB8xO5tGhxnYS1CsN3FqT0mKFmdMzTL57juJCCcMyuHBqmmqpRrYjTfJaBb6r0Ihh2tL0N1JgJFuvNYi56hH/30QoQQ2gExL7W/QVBYG4v0o5gIP2xjfwqtw50MGyZDrM7hb9qQxhALouMp5kEcpUArlefvROQIHRB+Ei2p+66nm6Bjvp29JD/vwijVqTeqVB/twCmbYU77x0lKXpFZp1l+JiGcOATGeadC7J9oNb2fnINgxLkUglqJfqbNs/yoFn1lH7cQNQGlR45cc136/UJ5VSp5RSZ5VS/+oqx/2mUkorpR7byO9/xyEq2o20mvP5WLGj0ZDdtVqVIq8LF8QoiBQf6nWhgKzTGtNa43k+pmlQqzXJZBwymSSeF1KvN2k0/NUCVaUUtm3guj71ukdPT45HHtnO6GgPlmVw9qwUpDmOTSqV4PjxC7fyKn1gWF4us7hYorc3x8BAB4VCDdeVhl4rKxWyWZtk0sZxTGxb4boBYRh3bR8c7GBxscLJkzNXP1Fnp2zw+byMe70uxr7jxLUAnieZH6UkqpfLiQUXFfY6joRl9+6VcOwtwNrCxvd73Md1YmhIHLvZWbmAk5PyM5mUsYzqPk6dkrD9woJYnydPxhKgbVeXj14L1xXjrVaTpSPS+Y+EYRKJuJ1AlJCo1eJ+ZFu2yDFnzsjnOY58xrFjt+j6fMCIbO2o5KJUirn+S0txmVYyGdPxwzB+DAzIZxw/fo0T9fUJde/8eRnXSkXW+1xOejdcuCCD1JL/paMjzgw89FDMM6pUJFPw0Y/esmuy9v+7/HEt3Ir9/w7zRdYPy7Z46jOPkUjZfP/Pfojv+vSNdLM8VyDhJHAbHrmuDE7aYWW+SOG9c+TPLzLb3061WOMjv/UU02dm6dvSc03qj1IG2twiDb40EExL9NpOQFiD4Axi7HcjDsAKsZRlA4IloQwpo3VsZGAmWpSgTQgj29rxShA25TrhAr5QolY7Jbe6+q5SABJACgwLVBb8c2BfOfdnGAaPfeIhzp+Y5vzJixSXylw8PcP0+DyWbaK1xjAM2npyVApVkqkkuZ1Z0lkJL7R3t7H/Q3sor1ToGe3Z8ELfCE0/4NwN0n6UFIf8IfBLwEXgdaXUN7XWxy87Lgf8n8CrN/l173yYJjz2mOyiP/qR7Cw9PbLLRGGkZFL+XiqJ0V8sys7TbAr/N5+X3fka1B+lFDt3DjAxIRIfk5N5+vs7SCQSlMs1jh07j+v69PRkMU2TxcUSWsv8r9ddFhcLlEo1TNPi+PHzHDokTf8cx6ZSuXrzursVmVZgpVis0Wi41Ot1XNfD9wMWF0v4vsZ1fcJQSedtU606TplMEtu2aGtzOHt2joMHr0KNjCQ+o6huoSAKUOPjsb67aco4F4uxyk82K5ZaT49IihQKYqHdImJuEIgxcx8bBMsSRadUCv7bfxMDb8sWcfbTaZnvHR3yPJ+XLMC5cxLlLZdF0vHMGXnPOmp+9uwRlphSsXxn5DMeOyZLStQwOpKZtyxxDBYXZQkyTTFmDx+OM0Hl8m24Vh8Asq3tP2qfUq2KA+X7sgQHgVyzKGBvGPKw7bgOP5eTIXrkkaucSCnhBw0Py8Wdn5c3nT0bz+Voni8vy/3Q3i6On1IyaE88IWvD1q23bP6v7QB9vbhV+/9da/wDJNMOH/rMYUzD5MX/8SMwDTzXRylId6Rp1JqUlio06y6JpE2z7lJaKHHxzCxvfO8d8ueXcFIJnvx7h2jvuXoUQNkPocNFCPNixOullliNRiLXkTFrAe0IfcWSY1mB0ANc0C7aeA8S+4Tbbt6aSPMHDnMIcMF7FzHsq5ItCatAGxLpX0FqJiK5VEN+N/takqorYF27065lW2w/uJV6pc7p18cpLVfwmx6+65PrkvbvlUKVbHuG7uEOAk/juR6GaaIMA9M20Rqy12okdBNwbo728zhwVms9AaCU+grwq8DlcZH/G/j3wD+/0RPdVUgkpB27aUqB19o27smk7C5RN8coHGcYsjsfPy47k2VJkec1eN6HD+9gdrbAe++tYFkm+XyxZbBqbNugWg3xPB+lFJ2dGWq1JpZlYJqKpaUyzaaP51Wp15u8+uopHntsF8VijQcf3HqbLtbtxdatPfi+z6uvnsY0TQqFBul0gkqlSXt7miAIWVws4zgmQRC1YFCkUjZ9fW3s2NHP4mKFwfUU31uWUDkqFeFnLCyIpRFF+iMN//Z2CUNG1J/IObAs+QLXEQm+XhjGhsqG3weI0f7pT8s68Cd/Ihc5Gve2NrE6V1Yk3BzxbxYXxTD827+VrEEiIeL7ETXwCnj0UWGFHD8ut838vNw2USF3pRI3D+/slFNFt9fysiw9UeT75z8XB6BQEL9zM2JkRKbUK6/IdSqVZLjKZZmGQSBDEakiRW1WUilxrHbtkr8PXHv7lxPs3y8X9803Zf5HHcQ6O+MMcXu7fGAYymDZduyFheEtoftFiMSEbhC3ZP+/q41/kKjc459+hMJCkdNvnCXbkSbdlibh2Fw4M4Pv+VgJC9OyUAYkkjYr8wWWZpbZ99QeAj/gnR8e45nffPKq/FJlZCH5SXRYA1LgTUJ4AnQD4ahbSJdaBbSBSrf+ZrSKg4utT0qB+1PQi5B4CmVtvs1f6wbU/0Yi/kq3aiOSoD0gDdY2oCl9EDCAAtAJygGjA5yDkinQdZR1rYofQXmlwvjb53CbHsmMQ3GpjDIU+fOLdA93km3PUClUWTi/hJNxmJ2cI9ueYf+H9rI8u8Lo3uFrOoA3g6YfMJW/4dDfMLCWH3IReGLtAUqpR4FRrfV3lFL3hvEPsqo+9JDsKqdPx1KOiYREAYMgriaLFvpiUYyCHRKB59QpiR5fZf7ncik+97knqNebpNMJTp+e5u23J6nVGi3lHoNKpYFSTTo60qTTDo1GE8NQJBIWy8tltNYMDHTwgx+8y/x8keefP8iePcO36ULdPjQaLn/1V69QqzXRGpaWKqRSNmFokskk2LNnmEbDxbJMbNtkYaFMb28biUSCnp4chw/voFZrUi43ePDBkfWdtFyOicTpdEzzmZuLpSB9X6y2VEroANmsWHXz8+I8rOnuutHwfTECbxRKqU8C/wmJNP2x1vrfXfZ3B/jvwCFgCfiC1nqq9bd/DfwuEmX5p1rr7934N7nDoJRU4ebz8NOfitEfyfyePi0Wt23HwvKplBw7OysUL6VEj/MLX7iqvGs2C7/5m3J7JRKSWDpyRH6P+Oy1Wtw6IBKWiqLZS0ti4Pb1iSLp4qLUmO7dexuv1W1CoyHFvhVROGZpSS67bct12bNHjok6JS8uyhR1HEnQPf64/L1SkRr8daFcFsPfdeUeOH48rvMYGhLD3/Ok2D+blfRNWxs8+aTcCzt2/GK3+A3EzUT+uUX7/11v/INQPz76xQ/T2d/Oj/7Xz5gZn2dpboWugQ4Wp0XSMZVLU14u0ai7KODimTlOvn6GAx9+gMJCkXqlQTp39fSfUg46cRiCBTAaoLuF167dloyngVBbAmAQWBZJUL0MpMF5GDGCC+IcJB5AqY1tJvNBQ2uNbv5ECqStYVBD4E3J/0xWMib+ceKuvgnAAnMMTBuMNskO6Bo4vyY9AtaB8nJFOgb6AQsXltBaUyvUqVfqrMwX0GFIqi3NwFgv3SM9ZNozNKp1nEyCR54/wPCuwVvaeMmxTMZ6rhpZ6FFKvbHm9z/SWv/Rej5bKWUA/y/wv9/4N7yLoZSkbtvaJNSUz4vx19EhER+lZNeJwnMgx0xNCc8zyk1fI/3vODbPPLOX6eklGg2Xvr42VlYsmk2X9nZpUNVsuvh+wPBwL8vLRWq1BouLJdLpJE8+uZt02mFxsUQ26/DQQ9twNrCL9J2CH/zgXd5++xyjoz2MjvYwPj7H/HyRtrYUs7MF3nprfLXDr+PY2LbJ9u0DZDIObW1pKpUGlUqT3/7tD7NlyzoN8khKJwjiRj8R9ztSfIrCilE0MHIUnnlGxMhv4fw3TTnljWCdaf/fBVa01juVUl9EIoBfUErtA74I7AeGgBeVUru11pun0kApscx7e+ErX4kb/w0MSLheKXH+lpdjdZizZ6Wh27PPivVZLF4z8ptIyK0yPS23Tl+fLC9Rx1+l4gj/yIjEF+p1OW0yKVH+TEZOl04LnWUDm0jfMXjpJSn2HR6W6zAxIT54e7uwsd56K6b7RN18d+6Mhbci6v5v/da62q8IIs/a92Vdh1iTNers3dYm1J6REXkeFXA895x4JLdw/q8j8n/b9/9NYfwDOCmHgW19bN03QrPhMTsxT3m5guf7pFIOzXoTK2GhDIUOQtK5JG7dZf5cXmRCjfUNvLK2oPFaHPamFLCSADUIlEBbgCGcdd0jNCEAw5HjzD7QKbDGpBbAWu/dfZdAF8C/CP4U+GeRnge2ZEH0IlBCgldruf4t2k/i8daHhOA8h3EVrv/lsFtGlJNyqBbrNKsu5ZUKjVqz1a1XYVoGlm1i2waPf/owgeejtWbL3nVGF28C7rU5/4ta6ysV6UwDazVPR1qvRcgBDwI/bDkwA8A3lVKf1VqvXVA2LxIJ2Y1HRmShX1qS3TcIZIdx3VgONFKCidRCHGfdC//27f34ftjS+feoViXyPzzcRaFQwTQVpmlg2wb9/Z3Mzi63tP9NHMdieLibdNphz54R5ucLPPDAxmtKf5BYWalw9uwcZ87McOzYBRIJk2TSxnV9JibmKRSqWJZFGOoWLUIRBAFhGPDhD+/BMBRhGPLJTz7MgQPXIYOcSMQKH9WqWF3lslhmEY83kZDNPpWCT35S7g3PW4ee4M0jutVuEOtJ+/8q8G9az78K/Bcli8GvAl/RWjeBSaXU2dbnvXLD3+ZORDIp2ZsHHpCxP3tWDELPk/GOQs3RPM9kZE2YmBDHYJ21Xtu2xSJjzabYlrYthm6hEFN9bFv8zJkZOT6ZlNtveFi+zt69YpPu23cLr8kHgGJRfK8zZ6Szb1RP77ryerEYs+wiNZ+IhfdLvyTXLgjgE5+QQul1w3HkQ7NZGZxqVdb/ajVusBHJDSkFv/EbcuJqVShDtxhheM3mbrd9/980xn+1VOPdHx1naOcggRcwP5Un1JqZM3MoQ+E1PWzHplqoYloWbtNn+uwctXKdj/1vz5Bap/KPUgm0vV8Ua/xToKqgOlo0FR/p9IsUBZNBFH+0KN00fyI6/0Y7hD5Ym4/vr4MC1L8LwRxi1JdbdJ9ICjVsPVTrZx3UAFhDYHShEofB7EGp6wuJdA12kOlIY5iKSqlKo9aEUGMahhRsh1oWmWbAwvQyjWqDZMahVrrxXNz14CalPl8HdimltiGT/ovAb0d/1FoXgdUQqVLqh8D/dc8Y/iCb+8mTEu1TKs6zz83J331fdqJaTTaBMBRrrF4XAu46Q3C2bXHo0DaWlkq89955SqUaPT0ZajUXzwvItbKHFy7kyeVS1Gr11YY23//+22QySTo7c/h+sCn5/ktLZf7yL1/hwoVFXNfH9wNc16PR8FYbewVBKHNSK2q1JiMj3Wzd2k1PT5bnntvPwEAHqdR1ZkS7uyWaNzMTG/9SSCCPSP7P8yTrU6uJARhxE24xTPOmSgqumfZfe4zW2ldKFREFimHg55e9d/NxzapVCTlv3y7jPDEh68CpU/Kz0YiL/01TrNGo++sXv7hubXfLEobgwoKICBWLwhar12WJiUqHzp+Pg8sgy82LL4ptGqmUbjbDH2TZ/cu/lP+/2ZT/03Xj7EikbhU1varXxSHaulWuy/PPi9N03fUxfX0yEJGyW6USz//Iw4gkoWdm5JiOjtsmvm8YN8X5vyX7/6Yx/lfmi6sy+4szKwztGKSyUsE0TCrFCsuzBRqVBomkjWEYLM+utB4FvvAvfu36Tmbtbkl2euDVISy2MgAm2L0Q2hC8BzSkuZVuALOAAp0F0uC9Dc1eQvsAhnGHtX67AWgdoL13oPrXEEwgUp4+UgQdGfwgUf/oZ9Tkq0P4/roBZt81qVBaawr5IvkLS5iWQf/WXnKdWZ74lUMsXFhCAelcEt/zUYbCSTs0Kk0IQyrFKqEfoLWmtFhhbL2c4puE6wWcu0HOf2sz/33ge8iF+1Ot9TGl1L8F3tBaf3MDv+rdiWKxVXyPhOD6+2UDGBqSHTgK1SUSEgkql+WRTMIv//J1nWrfvhHOnJnF9wNqtTrLyxVqNRfTNBgY6CSRMHnjjZVVWdBarcmFC3mUUmSzSdrb07zyykm6u9t46qk9mHda68cbQBiGvPbaGf78z3/E8ePnaWvLABrPE2Pf98NVNR8Qh1zeB93dWZLJBI2Gx+BgB8n1NF4slyWyaxhCFM5khJORz4tVkcvJhxuGjHG9Lr9XKuIAhKHcJ1tvjwPmeWIwXgU3nPa/D6RuI7IqL1yIK0b37pW5PzsrDkIU+Z2flwHJZOBf/svrOtUDD0h/KN+X2yliE5mmLDuplLQZiPzLRkOo5iC/d3RI0W9nJ3zoQ3ee/vuNIAyln9Zf/IVE/HO52NdeK2cbBeGjqH8QiM0eNU0bGFiX+JKM3fnz8iFjY7IGfOpTwskC+QLRSdNpGQytZc5HX2px8bZk/WBdkf8r4lbt/0swjdkAACAASURBVJvgthNE2Ty3KY07+rf2YtoG9WqDsQe3YChFYbGMaRpk29MkUg6NagMnneDNF95hdM8wiXXyb5W1FR223HaNFPACmMOi5x9MIEZvolXsG8n5BcAShK5w4ZsvgzmGTv8KSt3d3F/tn5KmXqsa/h7SAC3S74+kT6PGXVbr4YFRF26/gvW0njj56hnOHJnAtCV/eOKV0zzy8QOM7Bri0CceYvrMLFNHL1CvNqk2XHStiZ20UEqhQy2vF2q09+bY/tDYhl+LK0Jf+5ArvlXr7wLfvey1P7jCsc/d+JnuUkQLgO/LIt/dHUf4hoZiSQ7TlM3AtuVvjiMZg/7+dYdmduwY4JFHtq/+/sILbwOarVt7GR3t5tSpi7iuRyJhY9sWSnkopQhDzcJCCc8LGR3t4aWX3uHP/myQf/APPkoicXfP//feO88bb4yzslKjrS2N5/lUq008z0drCEPdYlaYKGWQSFjYttWiTjUZHe3GMNT6pHYnJ2Xjj5ymyUmp3RgYEGvq3Dkp9oz6PTSbMs5RBiDSHuzouG3hV63jcpMr4GbS/muPuaiUiiTnltb53rsfqwaAK5bW1q1iVdfrYq1HBr9pxhW5lYoYiS+8IE7COsPN27aJynDEIHzhBfm5dasoh549G7MME4k4uCzF77JEbdkCP/wh/Omfwu/8zt3fAO74cTH+V1YkieK6MsUi/f4giJlVkUKS48hULJfl2q2rqRdIYe+rr8qHaB3XbuzfL4GcEyckLVOvi8Vdq11K+apU5Mt1dclA3gZcZ0/J93n/xu//m8b47xrsRJlG6waSQe7s7yTh2BimyXL3CoV8iWbTxW34JJz/n703j7H0vM47f++33bWqbu179b6ySXZzEUmRWmyJkmVZlmwltgI7VhIbykzGRoD5wwgmGARIJoFiYAZOgGAwwQQzsh078tiWLFsKTUnc1VSTTTbZ7H3vrqquve6tu99ve+ePc9/+qrl2VzW7m60+QKHu8t1vf7/3Oec85zkuAxv6cT2b4vwKpbkSAxP917QtpWzwPg7OdnRqBVq7gAiUI82sghMI2I0Qyc86CfJzwOpp34gpCM+ggxMo794bfUo+dNNxFeJlNA74R6T7cTwDKpKC3StOjxnRMeK4xkhhdIzIoQ5K4zR7MzJvvbeVFlY49fo5+kYFLAAEfsibzx5lYLyPzt4ONt2/gTAMmTk/J2BCa/xmQL4rR7Yjw9iOYfb+3D2Mbh+5ZodvveY5Nhv677xOrreNFQpXzy4geXfHkQd/o3G12LTjiINgdOiq1Wvu7GjbNp/5zL3ce+8Ey8tV9u7diO8HuK5NudzgyJGL7Yd93C5ebRC1u1A7jkNfXwdKKbJZjxMnLvPmmxd4+OGbE4G6kVapNFhYWMFxbA4ePEMcx0xOLhKGMZVK40rXYzNOtdZtwBS3aUAxjuMwOFigszPL1q1DeN4HTEnVqgD/rq7kekeRkIx7euSab9sms+38fEIw9n0JtWazgjQeekgoIuvIxV+POc66lATfN+3ftu8BX0e4/H8PeEZrrZVS3wP+VCn1fyAFv9uAV9a8J7erDQ/LODfZHtMpymT6lpaSDuDGGZyYkKzQ7Kx8d43VpZYlNaL33COrfeCBJKlgdP8N2KtW5bPVVJf+NszI5YSVdOiQiM581KxSkQC84wjwj2Pxu8MwqbU3Ep6Q9D4w7But5b2pwd+69RrYl8vLAvZHRpIVBwG8+KJkAAoFkQiKYyn8NQ5/qyXPjFxOAgWf+IQ4hTep4tokIG8nu2PAfyaX5sEn7+P1H71FpjPDzLlZsl05eoYKzJydx1YWXsYlnUthOw5xHNFqtnBTWeIgQl1ncyelFNj9KLufGA3+AZQ9gg5fFSeADBL9rnKFjwRACNEi4gTk5CP/ANrd8ZFS/on9I6Lhr5TUMwSvAGkpaI6qSNBpdes6A/ojROEnRjT+C+DeD84IyvvgCp+ly8vYjn0FUAC4nhQQLl0ukuvOkUp7+I2AnY9tZ/bcHI1KAzfl0tXTwYNf2Mvo5iE27pn4UNV93m5+EHFp7m6Xnw/NPE8e+kePylN2YUH+d3dLete2k+ozw/k3TsAaQjJKKQYHCwwOFgDNM88cZny8j/37j2PbVlvqM6BSEeBvGElhGDA3t4Ln1cnn0zgO/PjHb3LffRs/Uso/hw6d48CB020qfcyzzx4lk/EYHCxQKtWYn19pU30gijSOYxFFGq1jXNcjjjXpdIqenhyPPbad0dFePv7xHR+84ZWVhMdvzLaTlH4mIxN8EEjF4KVLScanUJDMwOioAIAPqaHfu5nvJyJE12vXmPb/L8Aftwt6lxEHgfZyf44UB4fA/3RHKf0YM/S9v/s7AXmnT0tUf2xMKk3NMkYGOAwFEJrC/+ucC5QSmvnAgNxGP/whjI8LLrWshO5jgP/bS05MMyvHEenPvXtvP3D4fvbmm7B/f/L+uefk0To0JEN0NQtr9WM2jq/uwdjdLY6PSdp9oM3OJl6UMZMBuHxZPKvOTgnoPPaYpGGq1STY8/nPi5Nw//03dfwbR/B2sjsG/AMMbxrkyX/YzdJMkdnz8yzNLHPmjQt0D3aCgnqlwcpiWWBorAmaAVEmwk15dPW/f5Of9zPlbEJHM+hoEuJZRP2nox39Ns9ZQ3+pc6UfQOxB47vgDKHjBjr3NSz72rIPt9J0NC81C9YgStloFUOrKnUQzjYJ9F9FcVFIL4Q291/1yfmxu8G9D+weiJvocBKczVf4wO9mtmOj39YPW2vN/OQCL33nAOl8mqWZIoEfUF2uEfkRnb2d9I31kM1n0JFm12PbbyrwB/Dcu5H/D936+mQGKZUStZ/Ll5NujkY82lgQJJHBteowAtu2jTA5uciZM7NMTy/jeS5dXTksq061GiPcd7lna7UWtZro36dSLn/0RxVGRrppNn2+8Y3PMzLSu86T8OHb3FyJl18+xchIN7ZtEceaWq3JuXOz3HOPMEySaL+RubPb3N+YgYEuCoUcvb0dPPzwVvr7u2k0As6dm2fnzhFs+30mZRPJe7stLsJLL8n1XF4WxGHqQHp7BaWl0/L+vvtu6sQPgj2uMbH0rvZBaX+tdRP4++/x238L/Nu1b/0jYuPj8A//oXhZFy4I//vNN5P+DSsrSfvdKJLQtJHh+YAmX+9nW7dKmcGpU/LfdKc1yjVKJZSvRiPRe0+l4I/+SHzRZhO+8Q15fbvbwoK0VBgelvva8NlPnZJ+iat9czP+jaZ/GAo+7+6WYfnAAwL8m03x0Xbv/oAmu+9WIKG1XOvvfEccv7k5ebYvLSUZv9HRpA7g4x+/6ePftJi4neyOAv8AXtpjeNMgw5ukYcPErjHeev4YfjNgYvc406dnWFko06z7BC3pyKmJ+X/+1/9GZ08H/WO93PuJnQxuuPaHgVIOpJ6AeFGAqcpANADBIRKFG8N3N86Abr8uQ+iAOgTlGeKO/wXLWTsQ+TBMaw26CLoFqhMdXgKVFuCvYwhNs7MqhOdFy/+KlKeDBKvaNCcGwdkg3X7tTWB1g9ULROC/jNZFUfx5DxuY6EdZJ/GbPl67MPDS8Wlmz82TynisLJRZXigxdXKGex7fwY6Ht1CcLVGcWyH0I371lx68cm/cTLsb+b9J5royu5jc+tSU5NbDUGaZ+fmE/mP4344jEcN8XiYPU0B2jeY4Nk8+uZf77ithWYpUymN5uZuf/vQkWsft1LdqR8ES4BrHUVv60uLll09w8eICf/iHv01X1+03/peWKjQaPoVCjnPn5kilHGzbIopiDh++QK3WolxucOrUDHNzZaIoxnEUjiPLSdNll5GRbrZuHSGfT7NlyzADA90MDHQRRTHPPXecxcUqn/rU+3Q+6mlTJk3zJpCJf3JSQN7ysjh9U1PCy8jnxTEwso9PPCEg8SZbEKw98n/XrsNSKRm/GzfK+/vukyZerZZkBk+eFPRqOn8bXsq/+leCRoeH5R4xDQCvwWxbVGr27Em47KOj0nJE6l0SQLs6yRgESZPxAwfEX/kP/0ESVLeTmVoF08Ds/PkEzMex+FeVisRVTp26urei6yb9FT1PTu/WrTIst22Tx/TAgCz/wgtyaX7+599nZ8bGZMNGox8kun/6tHge58/LeD9+XCL/Dz+c0LpaLfjd371pRb6rLYrkHN1OdseB/7fb2LYRTr92Fr/h46ZsHMci8AMsW5HtytI/3iPFoZUGdsqlZ7DAK//9dT7/T36OBz9z/zVvRylLKC/Zz6IbEVglCE+BthHev0XS5ddYiDgAixCmQF2Gxh8TZ74iFCDloKxrkyD7sEzrpjTtiuZIuPtKtPtB+hhEk2D1g661KT9V5Hg1AvyNK2+Btw2czSJ3ioVyhpNtWcMQnEY7u6Sj8rtYtiPDw5/fy+s/Okx5qQIapk5O46YdirMrlJernDp4htJ8mYNPv8k9j+9gaOMA+e4cfjNgdPvwu673w7a7nP9bZP39CRHVzEaGfJpOy4Q/Py8Tg21LlMh0/N227ZrpAEophoa6+dKXHqbV8llernL06EUsy6LRaKKURbF49dPf92OCoMXcXEQq5TI5uch//I9/w9e//hnSaQ/Hsenuzt/0LNVqazZ9fvjDN5mcXLoSzbcsrigUzc4WOXt2jqGhApVKnVqtSblcw7atttKewnEslFJYlmLPngm2bx+mr68Ly3IZH08yHePjvRw7Ns39949TKOTefYdSKQH1x4+LEwcC/E0L3WpVvltehoMHBZENDUn2p9kUnvctMMM6uGs32bZsEekd30/Gf6slN3FHh9wPx44JmLQs4ZI/9RT81m9JL4hrHv9ym/3SLwlILpVE9cay5L1S4pOutjAUULiwIMqkly7BH/4h/ON/LFFiUydyC4c/zaZIlF66lCTdDG8fBFOfPSvHXi7LaTT9DozSpgnWKyX4fPv2JBmz2g8fHxfthb173yf2ks2Kqs/TTycn1FA9Z2fls4MH5fXTT4sjt3mzrLBavSXAH+Q8XLd86YdsdzT4bzVarCyUmdg5zrGXT3H6tQvUy3UyuTQ6hkJvB8XZFSrLNfLdWbKdGboHuwj9kJ/81Sts2DVO38j15WqVPYxOPQ6NH0oXX1qgPa7m/UPCjWl/phygCeE0lL+JtodAeVILkPp5lHVr7hztvwbRIsoW0KzjQJp3KY2OQ/BfBF2BaBniIknEv924ixYC/i0gL8fp7RbaT3Tpqm0pZaFRoKuy7HvY4IZ+nvytT1FakK6el05cJo5jWvUm59+SYstsZ5pWrcWpV8/SqrXYfP8mOgq5dSnurMf8cO1Sn3dtjeb7Em4ZGpLZdXpaPjPkWiPEbfrPp1JJbvboUalEu0b9b2Ojo718/vP7+M53DpDLZWg0AlIpl7jdZ8KYUQpJaDEOzabP5OQiv//7/y+jo72k0w579mzkS1/6GPn8rckZ799/kpmZ4hWQ7vshx49PEoYarTVPP/0mxWKNhYUyCwsr7aJehdYxcazx/bit66/o70/jODb79m2mt7eLkydnr9qWUpIdKZcb7w3+QSbyRx9NQmnHjiVagefOJc1+mk1x5JpNAYG3kFPh+4nc4127SdZsCjrduVNC66+9Jsg0nxfU3dsrUeLFRRnnnZ0SLIhj+O53xcm8TmdxeFho5d/9bnILmv5T7zX+tZbb10iC/v7vJ83Adu2CL3856R9ws+2VV+SxaUB6ECQyp5Yl+HppSU7h/PzVxxbHib6CZcn5sCxJxgwOynpWm1LyfaXyAYnXsTGhdy0uyo/OnpXnuO9LGiKO5XrW63LNazXxKD7kLt7vZ6Yx3O1kdyz4nzk/x+s/fJMo0kyevMzS5RKF/k5sx8JyLBrlJkEQYtkWygYv41It1akWa3QPFijOlZg+NXPd4B9AORvRVic4w6CHITwHevJtS61GoZGoBCkXgreEEmN1AS1ovoDWASr7K+s5HWsyrVsQXgKrHx0VRcJUVyEORNlHH5F9j8oQLyMFzo1Vx+aSFD53grMVsr+BldpLHJxrdwBevT0Nqk2b+gBzXCe5Nkqjo4ipUzM4nkMYRlTnGyggaIVMnpwh15Wn0VOnXq6T67wFjlT70O7aTbKlJQF+USSzUqUiOet6PaGNxHGiL+c4Mvs2GgICWi0JyV0n+AfYsmWY7u4c4+N9jI/3cerUNGfOJJwPMzkaC8OIlZUaqZTLgQOnr/QCaDRsnnrqdZrNgH/0jz5z0zMAvh9w+vRlhoa6WV6ucuLENKVSjSAIiaKIN944RxAIdWlxsYTvR1SrzfZ+alzXJp9P02qFdHdn2bVrjH/2zz7PY4/t5MyZWY4efafiZBxDLncNuoemgBeSJj5TU0l0d3Xfh5kZWdYoPt0CJGWKPe/aTbLJSYngh6FQQi5eFMRpCOiVSnJBhJMm90yxKMh7ZUWeH2vIFG3ZIn7F2Jj8nT4tf8bePv5Ny4l0WlRzDPuw1ZJC4kYDfud3bj5uNUB/cFBOy4kT8j8M5btDh+R1qSSP2CCQ02r205RStVoy/HbsgH/6T0WV89w5UeN8u2l9jRFy1xVPC8RjCEO5Xq6bPPOjSDZ+4oRckFJJrut6im/WaOuV+vww7I4E/61Gi9d/eJh8TweOY3Pg+weJYk2j2iCV8QiCiHq5jptxsJ1299dI46U9GtUmua6AbD5DvMarpcMpIAZ7DJSFNAMrAmXeO/TcBB1JXwCrB7AhKkpUvfE9Yncflrsx2YaO2zUGZZSVA2tAJEhvqEmxIroKwaugfYgbEC+BbrQlS7Nt4B8jNCbTvTdCOP4ukAV7N2SeAL0MgHLG0GEOHS+B6pbf6UWwNlwz1Ulrzfm3LtGstrh4Yoq5c3PEaOqltrSi1iz7AbayyOQ9BjcM8q1/9W0+/uWHeehze6/UDNwMS7k2Gwbu0n5uigWBTATptID648cTuUdD+2m1EhlQE35zHFkmiiQU926Fpddgly4tEAQhmzcPAoowjFhcLLO0JJHqt69WapF94jjGdV1yuRSOY7O8XKFUqvFnf/Y8jz66g127khy51pq5uRLFYpVcLs3ISA+Oc2PHv2QrNJVKneefP0qrFdBo+MzNrVCpNBgcLJDPp1hYWCEMNWEYo3WMZVkEQUwq5eB5Dtlsmr17N/CFLzzA/LyEvyYm+ujoyDA/v0JfXydxHDM7u8KmTX309l4jONda+AjNpnB95+bk2tZqibRIqSQn2BCx//iPpeDvoYduqri66wqIums3wVqtRPUnlZLXpsA3m02KwVOpq8d5Oi3h2d5eQa1h+P7beQ8zt+SWLQnoW1iQeAS8+2PFdMA10peOI8y1Ugm+/W2hr+/ZkyyvtdzuxaKoBo2M3PhmYaYpbrUKzz8vp6/ZFFxdLgt1p7NTAvBRlJRQmNiK0VLI5STa/8UvyrIgmYRCQY7BJFtmZ8XXMpSgDzStJetXqYgnceGCfL68nKRZ5udlh954Q+g///pfCzfrC1+4qTwck/m4nWxdt4tSqgf4NrARuAD8mtb6HdwGpVQEGD/vktb6l9ez3Q+y5ZkSURTjpVxWFsv4zQAUVBYr1CtNLMeiVq6jFPSN9RKFMZEf0Tfei9/0adab9I/1MrJ1jfzweAGsPFh7oPWyqP6ovjadxUEcgNUdX2yEHrOCFADX29SaLFidsmzz+2jr18DqRAcnofnD9vo60aoFKoNO/yLK2fSBWvkfZFq30OFZifqHc0LPidvypNEsUBcqUzyHAP6V9jH4JDx/2t+1RNI0+3hbAUmiLUp5kPqMdAWOLslvnHtQ7rU33bl4dJLDLxxj455x5iYXaDZa1MtNHM/GcS0s20YpRavh47geo9uGqZaqnDt8iVQ2zYOfvW9d5+l6zA8iLs3eWbSf23X8Uy7Lw991JdJvInz1esLtb7Z7UBQKSQvKQiGRAOzqWnOEaHa2SD6f4cEHt/Lss29RqdQZGiq0i3tlbDSbSRjYcRwajYDl5SrFYo1qtc6xY5Pk82kKhTy+H/Lnf/4S3/jG5+np6eCtty7wne8coFSq0NOTp9kMSKc9fv3Xn2DHjjFcd33jv9n0OXFimnPnZpmZKfLii7PMzCzjug5TU4vUaj6plMPU1BJxHLG8XMW2rbZ2vxQ3O44iCGIajYDe3hRPPrmXQiFHq92E0fMcfvmX9/HKK+c4fXoO21bs27eBBx7YeO07Ojkpk/6mTYIifD+R9TNNfZRKdN3HxsQxOH9e3t+kBj8gu3bx4k3b3E2x23b8z83JOM5kBB2bbN/CgoB+09sjjuXeMRHi8XG5UOWyOIpr5IfPzQmufPBBeOYZ2eTQkAB5A9DN4weSpGOxKH+1mrAO83nh/AcB/Pmfy+Opv1/w7ne+I85Ed3dye//arwlNyNTBr9VMsPzsWQHkZ84I9cd1JblmehrMzMjnptF2q5W0WTDKPs2mgP/Pflb23zyKXRe+9CVhY505I7+5/345Z9ec4Th5UnRSd+2SnW005GS7rvyZHanVxBPZvl2+P3ZM7o1f/MX1najrsCiSTd9Otl5f8V8AP9Zaf1Mp9S/a79+tV3ZDa/3BIu430to3ULPmk8qmmTo5jd8M6OjJ0ay1iPyQeqVJo9Jk1yPbmLu0wOz5eUa3DdE/2sOeJ3bSP77GCi2rAyIfZQ2g3XuF72H1g19u75jpfGskMCMS4NwCZgEbdAaisJ09yKL912XZ4LgU4MbFtrqODSqExo/Q6U+hs7+B5Qyjo0V0dBmwUc4oynp3GQEd1yWar2y06oLmc1LEq+ui8hO8BmoA4np732KEyqMRbr4B+/aqv1D+qzQ4+1D2EDqaATdR8lFWHpV6HK0fBdT7Sny+3SqlKq889Qa2ozh3eJLizAqO54JuEocxqUyKoBViOza5rgx+yydoBTiug5f2uHxmlj2P7yCVuTnRP8+12TB4x0X+b9/xb8yEoBYWZDbKZpPofhDIjLVhg0z4pZJE/Yzizxq7MnV2Zmm1Avr6Onnwwa34fsjwcC9LS1WUgmq1RRhKVtF1HaIoJggEODcaAVNTy7iuTaXSIAwjlLLo6Ejz0kvHUErxxhvnuXx5kYWFCn/3d4euqO5873uv8LnP7eX3fu9LTEz0Mz9f4tKlRSwLNmwYoLe38133t1ZrMj+/gm1b9Pbm+e///RCnTs1QrTZYXq6yf/8J+vu7aDbLTE8vE0WaVitAKdq9CmziOMa2LWzbElGFQAp9MxmXRx7ZzsREH5OTSzz+eKLk09GR4TOfuYdPf3pXm+97HfJ79brwDpQSVF2tCiKp1wWBGP12SKK4vi+AwPME1TQaN01/bzVL4Q6y23f8m/C6ifafOCGvu7sTpZ9aTcb8ww+LI3nhgoz70VF4/PFrbvr1duvslFutv19WHQRJPToknW8hYamYTriG928akhvyQUdHomR76JDs7vKycO5NT7O//mupN/jd35XDWFiQLATII+69Iur1ujgsliWPv6efFlxdrYoz8tJL8lvfF7BvfCWzX6uLez0vAf6mmfqDD8r+TE3BI48k283nRSXp535O3l+X+ma1KhkdraWyem5OxnypJDu4+jnf1SUnttlM0hEXL0rG4CZRAG37Dov8A18GPt1+/S3gOd598N9U6x4qYClF0ApIZz3iMMJNudQrTUCh45iu/g4cz6VZ81mcWmZ06xCWbTOybYhP/r3HGN85umaOrbIn0MFb6LgMdldbyQdwNkkn22gFovMIH76t+U+AgGZDNYoQJ6EFehSiKVHWsfukKDg6D9FCe7kAdEGoOK1DoEPi1KeEo48LaHTwBtp7BMvdemU/tdZo/yD4B0F5wrWPS9KETAWA6TqSbUf+a4iTYtKhGon6OwjFh/b2AqTXQRcoG5x+cULsYZTzzgfq9dCVtNacePUMJw+c5tRrZ5m7sEB5uYJlW+S7c9QrjTa3XmE7FulsCiyNZVnYjo3f9Ml1ZohjTRhEpG5SHaUfREzO3FmRf27T8X9F1990l1lN6TGE21wumXnLZYnym9lvzx7Rn1vj+N+8eYhXXz1NsViluztHNuthWbBjxyjZbIpSqcbJk1NksykqlSZBENBqxTiORRhKujoMI6rVBs2mz/h4P+fOzTI9vcTwcA8XL85z4sQkMzNFgiDC90N6ezuo1ZocOHCKMPwuX/7yoxw9OonniczuT396mk9+cjd79my4sp9aa15++STPPXeUVMohm02xvFxldraE74dkMh5KQS6XZmFhhUqlSasVtHsWSAFzsVjHcaSpWRjGeJ5NEMSk0y6FQg7HsRkZ6WFycomRkW527Xpn0e376vq/3bQWwvDZs/J/YSGppOvqEmBnmjZZljgE5rVtCxLL5W46CbfVkoTDHWa35/gfHJSx3WwKIAyChNNvxPd7e6+ust3anhe3bYOvflWKfdc8/qVQtliUaHcmI9d/2zYBgMWigOtMRjBsEMijyYBmkP/Vquze2Jj4JfPz8lianJTg9eXLyW97e+XWP3BAPvuVX5FlDKvxwAERvrlvVbLbfP7ss3IqslnZt9lZ2d9MJqmdX1qSYdZqJdF7w6qz7aSvnqm79zzxsxxH9n9yUrIf99zzzvN13ZL7r78OP/2p/E1OyokxNUClUkL5Md6HyQCYLEBXV8JNukkWRbJrt5OtF/wPaq1NJdss8F6sxrRS6iCCGr+ptf7uOrf7vpbOpnjgs/fx+o/fIgxCwiBEx5rhLYM0Kk3y3R3kCln8pk/oh3T0dTAw3seeT+ymvlLn8rk5JnaNrXn7yspB+rPo1kEBzVYXxD44KaG9WAWJiIeTCJh2SBRyVpupEF0E/7V2IWwA8YrUAhjgTwgsAGnQDrQOQrgE3i6wvYRT7x9EO6MolRFqT+MpaP4IdAg0wBoAbUF0AVIPyn7puuyrvkwiTWpIi9aq/VTtv7D9vQv0gz0E3qMod9OVpmDrsYXJRU6+cpq+sV7yXVnOFGuk0uLEFQa7KC9UCMOQbEcaL+XSqLcI/Yj+sV5a9RaZjgxexpMurB03T0HFaailTgAAIABJREFUc2wm7rzI/205/nFdqS4zBb+mxWZvr8yUuZyAAfNdLicOw9atMrstLa2LoJ3Lpfnylx/hxRePMTOzTHd3nkbDJ5NJ0Wz69PbmyWZdzpyZodUKcBwb2xZVHGMmcBlFmsXFFX7ykxN0dmZoNHxWVuqsrNTw/ZAgiIiiiNnZIum0h+fZ7N9/nIWFCvv2bcbzMvT3dxLHmpdeOsamTYPkcmmaTZ/vfvcAf/mXP5UaqHqToaFuUimXo0cn+eQn78FxFLVaA89zOH++RBhqoii6UiJx9aStkfoGUflxHJvh4QKjoz189rN72L59lNHR3vXXJSwvC0+gp0dQyblzCYjr7BSA12wmnVxNlLevL+noahyCm8j5dd2PRgOn67Tbc/ynUvDkkxIZDoIktL55s4S5e3qS8HyrJSH64WEJQVerUp27mmB/nZbJiELPiy8KQO/pkc3u2pVsPpeT27jVShgqq33RZPwLT/4nP0n0CiqVpG2FaVcyOyu3tutKf4GFBYm4m7YnIOvYtEmC3a2WZAr+4i9kPfW6OBbZLBw+LEW5rivDx/PEcTWn8t3Gv9FOMBkMx5E6hOFh0e3ftSuR6F+XXb4sBzg6Kgd26JDsdKUiz+yFBRn/HR1yQkxPF9NJLZeT7+L4pjZUMMqyt5N94KVQSv0IGHqXr/7l6jdaa62Ueq8KuQ1a62ml1GbgGaXUW1rrs++yrW8A3wCYWKce88iWIbqHCizPFOkeLPDTv32NmXOz6Dime7AL23FYml7CS3vEUcjUmVm2PrCZXFeW06+dk6h4rBmY6GN8x8h100OU1YPKfE5AtlZSB9B8BvwDQATWMFjLEJs6AAPkr1oLArBDiGugIiT6boprWyQZg3b2IA6BRaAOcbujnZWXTrpoKc61R9H+G+IkBOeQYmMb1BwS7W9A3ARdbhf3BiS0pNWX2ID+HAnVx5MsAt2gyuB+Div9+HWdu/ezSyemyXZm23SeHEppLNsmDAMatSZ9oz2sLFYIWgFaQ2dPnu7BLryMR64rS89IN34z4NFfevCmqqf4QcSlj2Dk/6M6/q9Uo62sSKTn2LGkEKyjQ2ahhYUkNFYsyiRhyKymK09np6zrOom0vb2dfOUrj9Js+liWYm6uxPe+9wrPPnuEMIwYGxtkfr7CykoDz3OJooggSAoMza0pAaqIcrmB1ppyuU4Uxfh+RKsV0mq1sG0by7IIw5BWK6ReL1OpnKFQyBNFIZ2dWR5+eBtaK+bnV9i0Kc2rr57h+eePcfz4FK1WgGVZTE0tk8tJNqLZbFEs1pidLba3F14pAFxtkkRJ4ThCX/I8B89z6e3toFSq86UvPcSTT+5bz5W82mZmZFI3wtkmqm+4CH19cs0NKjLE6VRKJv6eHlnukUduapdP3xc/5aNmH9nxv2ED/OZvyv0yNiZI98wZQaeDg3I/nDghyDaK5LuHH5bxfvhwkhUcHxep0Ot0FHt6xAFoNuU2m5uDv/1bqQEwWHR+XqLBnie79W71xQZQGxUdE9g2jEVTwmQi7r4vjzUjlxlF8rh7uM22nZ+X96+9Jk21jh1L2h5MTsoQKZcF9M/Py+kzQ+vt49+8zuXkcRpFclpdVxyJYlFaJXzhC2u8hu9mp07JBm1brpVpJ2xO0shI4gCAAPzh4QT0j4yIQ/CLv3hTx38UvbPPw622DwT/WuvPvtd3Sqk5pdSw1npGKTUMzL/HOqbb/88ppZ4D9gHvGPxa6/8M/GeAhx56aN2K7JlcmtGtw/SP9RKHEW8+d5TzRy4RhjHLMwvYjkW2I015qYYq1vnxf32RTGeG+QvzTJ8Rmc+5iwtcOj7F41/52Jr44UqlRIkunJHRm/klibTrknD69QvtKP7bgTXt9ybaXgTdL7QhXUUAd50rijyyNSQD0MEVR8BKi9RotAz2CFpbAuZb+6F1gCv1BcQS9SeP9Bu4ALqGZBPqyTLvyE4okuLlfrCyYPdzpQ5A35i2dvVKg+JcicWpJUxBR747y4bd48xfWiCTz5BKe6SyLkEroLO/k4mdIzz+lUe59xM7KS9WWJhaItuZYWTL0C2R+3zPqfE2to/y+Mfzkl7ycZxUsGmd5KszmYQP+uabCT2gVJLJoqtLQm87d66pki7dVpSanFxCa8XXvvYJwjBmcbFMLufxgx8cZGWlDlytA24mVomk+5RK5TY1J025XKOjI0212miL2kTt31vMzZXo6soSBBZBEJDLpTl16jLz82U2bOjHshRRFPHDHx7m2WffYnJyCdu2iaII27bo6MjQbPqcPDlNpdJsOwONK+De0JLM/opSUQAEjIwUyOUyDA934zjS0bxSWVXZuB5rtQSVFIvJicrlRB5kbk6uo2mvahDPyIj0A7jnHvntwoIsNzIiv72JZjTPP2r2kR7/2axI7phC3mefFWAfhvIcMERsQ8b/0z8VQHn+vDgGo6PiOBw7JjyaNdwzpqXI5ctyW/76r8vml5ZkU3/zNwlrbfX4B3kGmEh6qZT4r6WS/NasczXLZW5OHlm2LYecz0siY25O/CHbluV/9CNpfHzp0tUc/Y4OeRSeOiVJEBNUN918VzNljLJPsymvzbAaHpblpWfHdZ+yd7daTa7Z5GSyE4UC7N4tnKh8XsZ2LicH3tMjz+wvfxk+9Sl5bhjvZsuWm95G+U6U+vwe8HXgm+3/f/32BZRS3UBda91SSvUBjwN/sM7tXpd5aY8nfvURNu6Z4OW/foUj+0/ijHTjOA7TZ2ZIZ9NkOlKcfu0sURSxYdc4YRBy7vBFivMrbLp3gsmTl9m6d20FQDquQ3AKrCEpalUekEWnFfhZiE63Ne9neSe4hqRIeAW0yR2FJLQb4ySYz2MB/sEx0PMIHz8Gq1vUgtxPQOuHwJJ8TkySfSgBNoRHAA/p1htwtZOx2sxvC+BuEcfGHpei57gFqrWmc7baLh4TVZ+gFXL57CyXTkwztKmf0I+prdTpHiwQRRGDE/1cODLJwEQfT/7Wp8h2ZCnOlnj1qTf4xK8+wsiWdwtg3RzzXJuJwdusb/v67SMx/nEcaS1pOstcuCCf2bZM/K4rE8f0tMxYRntufl4mnaEhAY4jI2vafL3e4vDhi4yN9WLbVnsS78e2LfL5NEePTvLWWxeZnl4gDN85xpSCSqVFKlWjqyuLUkKvsW2LMIzaICG6Uhwcx1WCIObNNy9w+XIRz3PQWtPb20FXV5YvfelhvvvdA8zPl9tynmG7aDeiVKpgWQ6vvXYOz3OoVps0mwFaa+K3o5O2ua5Nb2+eXbvGCYKYjRv7KRSybTrRDUC8c3OCYIJArsn0tEzuvp8UcYahXLfJSYn+f/rTMtFXKkINePTRW1px63lXdzO9Q+yjMf49D77yFXEC//ZvRbfScWTMG/J9oSBc8iAQymAUiZLUzAzs2yfyOx/72Jo232yK0uTYmDxyDIg3yasjR+Rvauq91UUrFTkMA+wNWA/DxEkw4NI4mm+9JUPFNBk7flww8le/Cn/1VzKUDKA3TkGxKK8PHpTTUqkk4P49hj+OI8Nx1y5Z18aNiXBa80b4/qdPS8rESPoeOSIUriAQT2hoSIIDW7aIozYyIk3AenokcPP978Pf//trLuC+EWbba2oZ86HaesH/N4E/V0r9NnAR+DUApdRDwP+gtf4dYBfwfymlYgStflNrfWyd271ucz2XTXsm2HjPOG88e4Snv/U8s+fnGNw4SL1cY3GyiELhug7F+RVqKw0GN/Qxc26OKIzp6u1YM/hHN0DxTjUblYX0/aA3gr8Bmn+DNMnyEcBvALfLFVqNXkIi+0ZS03TPNR2D42T5eApwQPkC/N0HwH8VohnQ0arfG7Uhw+dvR/+pyO+v7Me7jf4MqEFw+mQZK9OO9vcAc2Cvj/JTLdU4/PwxLMdm+vQkjWqDhalFLhy5xMBEP7ZnUy3VuO+Tu8h1ZvEbPg9/4QEyeQm5dA92sTC1xOL0MkMbB9a1L+uxO7Tg9yMz/q+QUEdGJAPw2mtJRV4QJCEqx0m6RRYKiT6biRivwWo1aXz19sLWXC7NQw9tZ9u2UbZvH+ZP/uQ5KpUGQRAAouAj3T9dHMfG9wNmZ0sUCjniOMS2LSxL4boiaRvHmijSuK4sf+HCPLZtEQSanp4OPv7xHbz00nGmp4vS4NBSVxwI35fGXXGsyeUcGg2fUql2RY3o7R2KjWWzHsPD3YyN9RJFMZmMS6lUY2Cgi5mZIp/+9Nq504CA+9OnE6lG35drcvmyhClNeHHHjkTh44EHEhWfri5x8BYXBSTcImu1hFlyh9lHZ/y7rkSJd++WPg//5b8ID2tiQkLck5NJP4ilJflswwb5HOReWyP4r9Xkv2ESGuvoEL9i2zYBzt/61tW9xwy/PpVKatXn5pJHlm2LA7E6IRmGiaDN+fOJ2m2hIIf9yisSQDfaB8aBMOVP0mQvUTw17Kf3ilxnszKsJiZkPSYzMTgo+/rYY2s6ZYlVKpKicBwZQLWajP0jR8SbTqdlfD/xhDj91arwjDrbymYDA+JVXby4ZunWG2Em23M72brAv9Z6CfjMu3x+EPid9uv9wL3r2c6NNKUU2x/awsmDZ4nDEL8ZsDyzjJt2sNwsQVvCzk05tJo+6VyaOIpYmFpe+0atLGhpeX+1A9AEZw/KGUfHfwH2RqHaxPMIn9/w7FMkvQBMQW0WuXwKUQ3ySeg3GonW12Q57YDaBHYWdAr8Y6uWiVf9QVK0u3pd5qllljHvHVA5sHvBfQyCV6SwWVVBtZuVpT+19vMGLEwtobXmwpFLpLIpSgsrOI5DtlOuVf9YD7ZrYzs2ez+zh66BrivA35htW9Ta1IpbZXdiwe9HcfwDEoKbnk5mtKUlmVxWc0AdR2ZYoxa0DqmGfD4NaKIovsoBaDRa7N27ie3bh/nWt55h27YRVlbqzM4u02hIQy2lNKmUh+NYbaWdiFJJk8ul21KaHtlsql0D4Lcj9JogiCmX62SzKVIpl+3bR+noyJLNVnj99XPtnmcRcRyjtWnQJVmHOBaOv9YarSWyH0URvq/bp8ZqOyU2HR1Z+vsLfPrT9/DCC8dotULiuEE67dHT08EXv/jgms8bkEj3mfoMw0HI5wW99PUl9K09exJ5ldVmWeLQ3ULzPMGSd5J9ZMf/vn1yr4RhQm5fjbC1FlBZrwu6Nc3k1mhG4tGIjxmr1WQ3du4UxtHWrYJdZ2Zk041G4o84TqK0UyolYmWmbt3UABjZTxPPMLu/Y4c4G/m8JMJMz0PD4zcZBCOGtprjbxwAA/7NI9HzZJ0DA1Ir/fzz4pcbpc1CQVg367LZWVnhiRNyTRYXE2WfIBCvw3Vlpz79aRF16HybpLHn3XLCvePcdKbRB9od2eH3gyzXmaV/vJfnvr2ffCELCuIoJvRFe1/S6hHL00WclEMq44LSaK2vFIn6TZ+VxQqOa9PV3/m+GtVKZdDuLgiOoK0ewBWNfiuLciZQKoV2RsAZEWWd1mEptqUBaFA9kj3AcO9V+7ue9mg19B2n/X2t/QdXugqHL4IVSsQ/ugjKLGuROBW0369W8zGAX5MUIGeArMh4ahtUCtwdYA9ITwAsSH0CvEew7DX2Srhy7qBebRIGIdnOLPOXFnE9F8dzyORSVFdqxJGmOFeme7Abv9Gif6z3qmLeKIzo6Lm1IrvBnRn5/2haKiVUkcOHZUIx8hVRJBOLmQGrVXnvuomYtbmvTE7bsgRsvk/xeCaTYt++zbzyymn6+zvxPIfFxQrZbIpt24ZIpz0mJvoZHx9g506PAwdOUSxWSaUc4hj6+7toNFrUai0cR6L89XqLvr5ObNtmfr5EHGtc18bzXOp1n0aj1W5lEKI1/N3fvU4YhmitOHduBtt2cRyFbXu0Wi18X55tUhNg1DysKwpEUSSHqpQik0nR0SH6/pYlWv579kwwOtrHSy8dBzSf+9w+PvOZPQwM3IAZz/flfKdSEuUzTbxMdyRzrQoFQVQ9PVdfD1MDcAut2RT8ctduA8vlBGn/6Z/KPWPGvwmHmwLyy5fl+ZBOJ1W5Br23WgkQHRh43+LRVEqUd15+WRb1PIk3pNMSjE6nBcNOTMht+tOfym1uylf6+8URqNcTLn29Lo8w1xW/OIoSNUuz7Oquu08/LbtvWZL4NA6FbcuhmHqU1Yo9qxWIkvEvj7t8Xo7DsmT/d++WEomf/ER+/7nPSWOvG9LV2ij2dHRIJsZ1ZeMmzaC1eEwjI3Lg4+NXj38jBHALLQyT7sa3i/1Mgv84jonDiAd+fg8Xj03hpTy6+ju5fGaG2kqDZt3BbwZkcimGNg2gLJuVhTJxFGM7NhePT3LkxePEsQYN+Z48H/uFveS63rsgSLn3oVUewuMS3Xc2otzdKNUuInZ3Q+MHQA7cXRAeE848AcIZCkG3AazqBDToIugeBMSnBNDriix/hc6jkMtcB/+VVe/T7f9CMRBzMH0BEifARrj/q4t908ngslywR+R7ZYH3ACr9+fdsKHa91jfai441rYbPzNlZirMlYg1exiVo+OR7Oujq76BeadA32sPRnxzHP+DTM9JDR3eOWrlBz3A3vSO3NuruujbjQ3dW5P8jawbob90qUT/fl1BVqSSTh+vKhOO6Ag4sS96bGdaIYZuqXEPoTr23IMBDD22hoyPNoUMXWF6usm3bMA88sJlMW0Rg377N/NmfPd92FDbx+uvn2h1zQ2xbghEdHWlAUSjkAMXSUpne3g5c18aybFzXoVyut30UoQEaak+j4fPii8cAhed5pFIWruu2lX6EUug4Nq5rt0+ROAGeB6mURxTFbZlPRT7vYVkKpTSeZzMx0XdF+u+xx7bzq7/6KH19795Q7LrNhMuCQBDR6utgJD07OhINxfl5QTfd3fJdo7Gubs03ylKpW0o5vmurTWu5Lz77WaGPpNMSMb54URBaOi3AP5ORi+Y4wmExvLczZ6R42HjJXV1CNXmfpoAPPii36aFDchtv3iwNpk0N8f33yz2SSkli4rXXBLOu5vabDIIRuVlaktvacRKqT7nMlbFoALtty+G++KJM20Za1POSvneQrMecoiiSZU2rBOMj5fNJLMR1xWkBWc/DD0tNgZEXXbcNDSXeTrks18V0bzYOwfCwnIyxMdi/X7yskRG5puWyeFy3uODGttfcM/JDs59J8B/6Ia2az54ndlEY7OLA91/j7KGL6HYKvF6qoWyLfFcPmXya+kqNyWqD//q//SXbH9rM9JlZBib6cFw5feWlCq/98DCf+Oqj7ykfqZSFcrfCqiZbq82yh4gzX23z/kNwRtu4Py3vYwsB4U3h1dMOC1DkStReW8glDbnSYfeqeoAq0AHWGFiRdA/WpfYyDkIlMinzEkntgXEELOH3kwbLE4fF6gerD2iBPYpyd90w4B/HMeWlCspSHHnxBG7aRdkW9WKVZs1Cxxon7cKSYmzbMK1mi2qpTqvhs9SOsj/yyw/xsS88gP12wuVNtiCImJq+G/m/LSyKZOLYsEEmj1OnEjBvWTLTKZVE/QzPfP9+CW9Vq0lrS5BZempKZvT3GP+WZbFr1zi7dr37JDQ01M1v//aT/MmfPEcQaDZvHkQpRTrtEgQRSiny+TTVqk8+nyGddomikMXFCmEY4boK247xPItWS2g6jqOwLKsdzY9ZWanT0ZFjw4YBCYDEMYuLIvPpODa5XIpcLo1SsLRUJQylB4llKbRWaG0xNtZDOp0inXa5776NjI72tDMTPhMT/ezdu4ne3hsUZY/jJNx58WISejSZAJMNqFYFbZguvkEg9CCtYe9e+bvF47/ZhJMn36Ni8q7dXAtDcfQ//nEJTf/gB4LKTXO4UknuteFhQdqlktxP/+bfiETs6dOCeA1SLhbhqadEyuc9MgBKCfVmx45336X+fvid34E/+iO5hTdtSh5BqxtVm0dPJpMwFg3Pf3WS0vjHRgkziuQR1tkp6zZ+y8JC8rtMJimjMes1iRDXlfdG0cfzRENhYiLJTIyNyVC7YUF2s4OOI89e25Y/E6SJY9mBhQU5KPOcrlYlCBBFIun5xS+uSantRloYym7eTvYzCf4dz8FNu7RaPsW5FTp7OsgXMrTqLerlJrbn4qVdKsUqtmNRrzTpH+/l9BvnOPPGeXKFLAMTyR3e2dvBwtQSlWKVzp61T3xW+jFiZ7tIc6oUOBshOguNZ8F/EVSvqPcoQLeAhlCCVAacbfJdMIV4DaZWwCPpymvLOuwsxBFYddDDbZe+0l6vL3x93YnQjNqZBaVFwjPWUtzr7pQMhDOKSn0CpW784Dr8wjGO/uQEJw+eJdORoVKs0qw2SWU8bNum1WgRhSF+vcX49mFOv3aOVC7FyJYhJnaO4rcCVuZWiIIQUrd28F8Jm9y1W28m7BWGEknOZpNZ1vD8bVsQmyn+7eqS6N/SUjJLGkulZD2midQa7VOfupc9ezZw9OglMhmP7dtHOX58kh/84CDf//5rDA5KES2IvGa9HtDX10k+n2HPnnFmZ1c4f36OVmsZ34d02iWddvH9EN8PsG2H4eECuVwKrTXVapPx8T601qysNABotUJc16a7O0u1atPTkyeVsokizdBQF0opBge7uf/+DXR15ZiY6OMLX9iH530I4+viRalanJqSa1SvJ0gHEgmSOBYQd/68fNfXJyjFaH/fFhp7qxXZ7totNceR8Wv4/j09Mr5NdNnzZBwXi/J6ZUVA5qFDovqTzV4dSe7ulnt0cVGizGu0J54QQaIjR2SzO3YIVeypp0SkaGBAAt8gj6ZGQ271XE5+Nz8vQmbG/02lktiFifD394sTEUWCkcfHZRgZvYNmU3Byd7d8bxohR1EShO/vl0xFT4/EQr74xWRI3lDbv18KCV57TQ7SZP5MMwHjANRqcrIOHkyuzb33Jk0PfP+ddUA32d5PLelW2c8k+Lcsi50f28oLf3WA8mKFpZkijUoTvxWQzqfRsSbXlaVWrlOrNOjs6cBLufQMFli6XGTyxGVm7pljfGfSslEpRRyt7+rG4SUIDkFcF/BvZVHuXnB3oSsBBGdADQAW6EXJAHiPQ3QeLBuse6QA128gSj0RwueP5Dcmwu9MgP8WxEHbiQil6RhpUCVASWSfFDibwe6C9JfB2YyihY4mIa6h7EGwh9fctTeKImbPzzN9agZlKyZ2jjEw0YdSisXLS7z5/DFmzswCMDDRS89QF9NnZknnUnT25Jm7tAixQmvN8QOnabSpP11tyoGXctEaFqeXGd9xa9trep7DxPBtlvf7WTXLklnr6FGZQKpVmS3jOJnFUqlkFs1kEk3wZlMcgOXld+a21/l0P3dukZdfvkSl0iKddshmO3nkkR3s3bsZ3484cuQCw8O9bT3vFdJpj899bh+nT19GKZt9+zbR0SFdgJeWKkRRTLMZEIYRluW0I/wW27YNc/DgWXw/ptGQLsHj473k8x5LS1VA7td02mXnzhEKhTxf//on2blzlFYr5OzZOSqVOsPD3UxM9K+9a69BHaaYurs7CT1WKqLGsrQky3V3S9hycTHR819aSuRMJiflWnZ2Jo6Z4WcvL9/y9rrpNGzfftf5vy1MKYngf/vb4tDPzsp9aOh/Wst9VKnI5729cr8NDcn9d+KEZAvvfVsd8zqdzAsXBO+Wy4kc6COPCA0oCEQudGREHkWmRvnJJ2WYWJYs19kpTsHSkjyOms1EGch15W/LFlE1NUq5QSB42bQ8MMW86bQUIxcKopy5a1fSrK5clsTIxMQ6uvbGsTjsJ0/KAWzfLjqhliWg/cc/FopVHEtaYXhYsi7ZrHgely4l3KSDB+V6jY4mDpjnybW+dOmd1+omm+Pcpf3cFqa1JpVNYQFnD1+gslwliiJyhRxhe7IMWoFI30VSH9CoNrl4bIqgFbA8t8KhZw8T+AEb90wQNAO8tLuuotI4vAyt58HqRdmDaO2D/zIaC8vdjM59HSr/J4RvARnp2qvGwcqB7pNOweFF0E2wtkB8Glgh4exnAAusTtDt4mDV5vTbO5DeAFNCHTJNutztkPkiyt2KUsZzdlDWznWcfTGtNW88e5Spk5fJdWXRWjN9+iCb751gcOMAz/63lzh76DyVYg0dxURRTK4ri5tyyRdy9I/10qg2pfGaAmUpquUG2a4mua6kgZeCK0WLt9J8P2TyLu3n9jAzu9m2TPwNiXqTTstEYyglcZzkxw3nPI4lwn/pknze1yef2fa6ov7T0yv84Acn6e/PMTraRasV8swzZ7Asxa5dg/zzf/4l/t2/+/94+eVT5HIe+XyGDRsG6OzMMjhYoFptsn//HI1Gix07Rjh2bIqlpQqWpUilPPL5NJal6O7uIIpiXNdD6xaOY3HvveOAxfnzC1iWRPZdV3HPPaN87WsfZ/fuMXI5OTbHcbjvvhsgW6O1KC6Z6CpIpN+A/MOH5dqsrlzMZBJ99kIhkTcxdKBGQ67B26N8t0HGrdnUnDp1N/J/W5jRz3QcEcNfWpJ7rLMzIdr7fkIPNGHykyeTQt9nnpHl7rtP7k2TcVqjzcwI+6i3V/BrqwXPPSff7dkDv/d78Ad/IF15c7mkv12hIFi3VhPHodGQIuIokt20LDlUI45luv56npwGx5H1m0Jg25YkmuNIEe/Xvibfm9oE171BOFprOZgjR5Ki6zNnxNvYuVMcs9dfT7wR07jL82T5sTF5NpiqY8sS8F8qXS2or9RtEXK/S/u5TezEgdOcPHgWJ+3geg59o900Kg0cxyayIzSaRrVJHGtq5QZaazKtkFbTx1KKoOETxXDhyBRRGNMz3M0jv7hOXnlwFFQXSskkq5SHtnql2Za7WWoCOv8lNP4S4jJYBQjehHgJCEVpxx6DeFkoQMEgoNoUokh4/s5GiCZBdQMBaBecDeBsgfAswuXPgj0sToWzHeXe887+BDfAinMlpk5Ot4G6xku5zCxV+Is//FvqKw3CIGgXWDtkOjJMnb5Ms96kXqlj2YoojOj2Z2TTAAAgAElEQVTs62Bs2wiLU0tM7BghnU3heA61Uo2u/k6iUKQM+0ZubbEfgOc6jN+N/N8edvmypOmNaoznySRjqthAZkgjfdFoJEWCSiURvmIxqYAbH19Xu/jXX5+mUMiQzQoQTqUchoY6ePXVKXbuHGB4uIf//X//J3zrW8+wuFimr6+Tn/70FPPzJYIgZni4h02bBllcXGH37g2MjPRjWZoTJ6YJgojNmwfZvn2Ec+fm6O/vxPcv4bqKzZtH2b17ghMn5shk0mSzKSYm+snns+zevYEHH9z8vkpma7ZGQ86f4eLatiCYs2cTqtVq2cVyOdEzBLku2awgn2JR/hvCc7OZcBu0vi009iTyf6v34q4BQt/Zvz9RjBofT0TtDfA3heVGdL+zU+5Ly0oUpo4fl+/HxuAXfmFdvPI33pBbNtuOW5lEw8GDAsKHhuDf/3upCZidFYD+8suSuGi15PuNGwXw794tjoFSsoumhmDXLklY9PfLKXBdKVPavVs+z+VkuxMTsi+7d0tR8odSLrO4mAB/c8ClEvyn/yTXotkU0G5kfU+flvNfqSR1Wd3d4ihMTsrgyuVkZ1dWZMBFkVzPsbEP4QCuz2z7lmsOvMN+5sB/rVzn9Ovn6B/rpVKs0jXQhd/0yXXl8Fs+YSsgCiI6Cjm6BgsU50roOKJerpMv5Aj8EMu2SHkO47tGyHVk+Pl/8ASpjEd5qYKbcsjk18Av02VQV9cLKJVGx7NoHaGUjWV56OyvoIMTAuqtboibiNJORtZhDwrID0+A9yAq+wvJJnQAcT9YI0BRaD/KFodBV0Wtx8qA1S4y9vejvXtR7o1vjjF56jKnXz+Pm5Luo0uXS6RzKYozJWKtCYOI5ellWk2fbEcGy1UsX64TxzGtWotGV5ZKsYpf99nziZ3s/Nh2BiaKvPn8URYvLxO2dcrv/cRu8oXrb8t+o833Q6bW0StCKfULwH9AUjn/t9b6m2/7/n9GtLVDYAH4J1rri2vf4zvUWi0Js5koXz5PmyB/dZtM15Xv6nWZRU10z4hfg0SYHEdUg4wQ99u77lyjFYsNcrmrf5dOuywu1gjD+IqM52/+5qc5fPgiJ05MMThYoF5vEceQz6dYWakzMtLDtm3DvPXWRR55ZAdf/erHr6wvDCP6+wts3TrE4mKzXQdgsbhYpVxuYFkpMpkC6XQ3YQjPPXeej31sM/feu7bmZu9rKytJtaHW8t62E+Bvoq2tVpKlMZx/308+i2NBPRMTMruePCnOgHEctm5NZFJuoUnk/wZ0O75r67NaDQ4cEEBouCumS7ThwJgGf8PDgrTjWO5Poy1vaobuuUfG+j/4Bwkn3XXXJCu7vJwAf2OplGDk1Y27fuM3JFlx4oQ4ALUa7fGfNLvdtk0YjQ8+CL/yK8n6okiGyLZtkuxotZIm54Z5t7r86YUXBPzv27eO8/1edu6ceCAm6zczIwc8O5tkXaemEkfe82QZw/Hv6pJx3mhI9+7HHhMu1DPPJK2S41g+712f3PiNMNOgba32Ycz/P3Pgv7JcRVmWAPhsir7hbjSK0Beqj45Fz39goo+OnjzTpy4zdXqGZrVFs9bCy7ps2raBerVJR0+e7sECpfkV3nrhOL4fQKwZ3jLIfZ/cjZe+jioYewii2XZUXkzHVVD9V3HqlUqjvL3g7UXrAN18AZpPA740CbNHUcpCWwMQL0hG4MoKl8Ddi3I2o+N5sHohXoTwjMiIxhFYQ5JVACn+9fejnS03NPof+AHHXz6F1prO3k6atRbNWpPl2WVsx6Y4VRSp9bZIUa1cBzSFgQKOa5Mr5Ogf7WXq9GWGtw5RWarRrLcoDHSx46Gt7H58B5l8mr6RntsC+INwqMdH1xb5V3ID/CfgSWAKeFUp9b23dco8BDykta4rpf5H4A+AX1/nbt95ZqJ2BqR3dFyt8w8C9o2kRrksk0yrJZ87jkSZw1B+n83KdxcuJI5BR4fMwtdBhh0b6+TChSL9/QlQrVRa9PfnrshvgvQMeOSR7TzyyHbCMOKppw7xl3/5Ms2mz9atQ2zcOIhtW4yM9DAzU2JsLJn45uZWePTRbdx770YmJ1fo7+9kYWGFY8dm6OzMEQQtxse76esTFNJq+fzoR+e4556hGxv9j6IEVOVyMjOGoYB9pZKWqEan0HQjMrQfz5PzPj8vE3ujkcj+bdokzkAq9f+396ZBcl3Xnefvvvdyr6ysrH1DFYBCYV8ILiDBVZRkkrJFSZZEW3Y72tGjbs90hL/0RPTYHs+0OzyKCU/M9MT0TDsmWrbVsj3RdntpS5QtkdpIyyZFESAJCMS+174vuW/v3flwcPGywAIIYqtC1ftFVOT28uXNV3nvPffcc/5HjLXE6uj/4vm/fi2IgHvE3Jxf2jYW86s+m98fyO9zwwYJ4zl/Xtzii4u+7uXevX5+SUuLjA9/8ze+t3rjRik49RGSTHt7JeqlPl/YlK6o9yVEoyKn+cgj0uTvfhf+8i+lCwwMyM/ftiV0aHx8aWG5iQkpUrx/vzjL29pk/X3qlHyVWk3W0CZ6qVyWsPu9e++w979Wk50XIx9ULPrVzUy8v6mp4nl+NnJbm1yAREKu8enTsnWRyciOQGurrFYOHvQlQFeJuz0UunX507s1/6874z8UCV313EXjETo2tjN5aYqegU66Bzs5+vpxnLDD9gOD2I7FxWNDRKLhKwXAINnUIAV1HJuZ0XkG9mzk8HePkmpNErOijJ4d53t/+iMOv3qUj33pCQb29RO6CSUMFdqJdkfQ3hyoBqkFoMuoyGPXf48KQWQ/2psEq+OqzKjWWnYArEa0O85VqU+7CxXaLiFFzmYJ9bHawIlC7SIQBdsY/h5wJTBQZ0Ddua3z2bF5IrEI8WSM/GJBbKqQQ36hSDgWxnM9IvEwlVKFaEOEWtXDdhR923uoVV0xbrZ04tZcSrkyXtRl5PQYjS0N7HpyO9sfWV5OdSW5Tc//AeCc1voCgFLqz4HPAlc7v9b6tbrj3wJ+5VY/bE1TP4s5jniQFhbE85dOSxy6UjJ72rYfmmKq3sTjvpxnLueXj49eqX2RyYhXa3xcZuJ0+qZmzv37e7hwYY6pqRyplEh6FosVXnxx53Xf4zg2jz++naGhWXp6mrEsv/93d6dpakowPDyLZSk8z6Onp4X9+zcTiYTYtauHY8eG6epKE49HOHNmhlgsdFWf3/M0kYgUFJybK9LaegeN6ELBz5GoVPyJ3oRYmO1+8HdbXFdcnUb4vLXVjwU2koDxuFzzVSioH3j+Vwkmr8fc37RJDPyNG8WQfOMNee3AAXn9xAm5NeFm6bQfLD8yIpbxd74jRmZDg1jwf/Zn8twv/7JY2jeo/2HYt0/eOjnpCw/lcvCZz1y/fqDjiFrppUsyXNWvzzs7ZeEwPOxX/e3ult2AaFTi9o8eFfs4kZD1TTTqG/4mLUqp5bUNbouJCRlTm5tl7DXZyCZcx+j4l8vSONPnt2/3C60ZvdJ8Xhp7+rSMxQcOyE7AKqNalSnhFrkr8/+6M/7THSmSLQ0sTmdobE3St6MHz/WYHp6hsTnJo5/ajxMOEU1EOP7maTo3tjE1NIPWimK+xNj5SSLxMLFklK4tnbz9ynsoBU1tjZw5dJ5iriQhRXNZjr9xisxMhkde2H9d/X+DstIQfUFCerxp31C3brxyVVbzFUP+LFqlACXa/aEtEHoMpWdBF0QFyGq92g4Vfhit4lA7jewadEvSMFXwKkBJwofUndfwqlaqzE0uUClVmLw0Rc3VlPIlwvEQCk2yuYHsXI5iviweRw1aW4SiIbyaDNxKKZq7muje3Mnc5AJN7SkOvvgQLasgvn85FKC8GyYetiqlDtc9/qrW+qtX7vcAw3WvjQCP3uBcXwa+cyvtXPOYbDkj8WmMyIUFv/KnUjJhj47KTJzL+WLZmYxMREYNyGjvmeqz1aq/GzA9Lbfd3TesAAyQTsf54hf3cvToGOPjGXp6kuzb10N7+41DVpqbG9i1q5djx4ZJpxMoBfPzebZv7+WTn9zD1NQi2WyRhoYYHR2pqx78xx8fJBYLc+zYMOVyjf7+NubmSlSrLpVKjWKxwsBAB7FY+EPHro+M64q3z/N8KU6jRWgmfiNTAkt3akwcv1Lyv0mn5X/S0CBhGKsgvn95AqnPVUFrq1i8k5NiLG7b5qvOtLSIbqXJE/nHfxQj0+zqFQqysI9GxVW+cSN8//vyO21tlQTV+XmxxOfm/KD8F1/80Hygpib44hclz310VJq4b9+HV8htapL1x5Ej0hUsSz56cFCUgGZmpHskErIgMM04eFC62dGjMkT198tGmol6MjsJd2XjrFLxhRYuXZIPzeWkQZ4nX2R+3h93TTWxWEz+ByD9v71d/j+zs/K/+8xnVkV8/3LchNTnPZ//153xb1kWj/7sgxz9+xNMD88Air4dvbz4L5+jsTlJdj7HP/7Xt7h47LI4yx2baqmK7VjEk3HKxSqep/Fcjed6nH77HNn5HGfeuUBzZ4r2DW0UcyUWZ7IsTGYYOjnC5NAMvYNdDOzbSOMNCuAoK4WK3Oh/ep33hQ+grY4rSbtAaBfK6b8SLrS87rBSDiq8Fx3aDXhodxIKf3XlRRucbaBtkfxUqWXPcavMjc8zfm4CO+JQzFfILeaxbEVDY5x8pkgpXwY0DU0JitkSkUSYUr7MyKkxwtEwPYOd1Co1wtEwXZvbicQjPPG5R2hexRV0QyGb3p4bLkxmtNYP3+7nKKV+BXgYeOZ2z7UmUUoM/MuXxdME4oF68EEx2kslcYOZrWfjNgO/1KUxhh1HZkyjANLQIH9mBi2VZAIrFsVYSKVu6AVsaorxzDMDH/krPfXUDnp6mjl5chTP0zz44CYGB7uxLIvOzjSdy/QLx7F55JHNPPTQRjxPMzmZ4w/+4G08r3ZVASgcDmPbFun0rasYLYu5LiZ52hj+kcjSJMtoVI4Nh+W5+Xnf6De7A0aGcdcuucarFAn7WdlCYwHI7+f55yWg/eJFeTwwAF/+sri3Mxn467+WwHpTKcsExxsdTZDXbBsOHZIx4N13xbru7xfHwvS0GLGnTok1v3WrWPM3cKGnUvDUUx/9Kz3+uCwWTpyQtfMnPiFDnFHuWW4BYduyC7B/v3Sl6Wn46lf9r7V7t3Qrpe5CyPzkpCTwmvoo8/PyoamUXP9CwV+AZbO+s+bECT/kx0h8mhXK5z63ag1/kKZ+SAmIez7/rzvjHyDWEOOxn3uIYl7if+sTdJPpBp7+4kG+80evUSlNUpmvsmFbF+FYmOx8HjtUwgk51MpVhk6Nys5zqcrImTFmxucoZIoszmTRWpOZyVIpV0l3NBEKO4yeHefJzz9KU5sY01pLfsHtxtNK9eBNEPro290Sy2+B3Y2OPgvVY9LjdQWsGCryxB31/NWqNUbOjKPRHH7liFQgdSyqpQpWn8XWhwc49qMTOFdCpZItDVSKFVo6m6hWq4SiDsV8ifxigU17NjA3scCmvf2kO1arx0+oVlxGh2457GcUqC8N23vluSUopT4J/DbwjNa6fKsftuYJh8U1Vq/tb37j0ah4A99/3y/6lU7L6G3UfhxH3jc/L/eNXr1JSDUhAvPzMklFo3JcLie7AEYS1CQO32b/siyLLVu62LKl65beK2UPUrz44k5+8pNRLEtdsXc0L7xwh9V+TPKk1n6ML8h1isfl+ly6JM9p7ecEmO3/UMh3TXZ0yDXt6LilJMt7iYT9FFe6GQEgv7MXXvBlZI0OJoiB/4UvwJ/+qfy2cjkZK+Jxcak7jvxVq5JVaxYH586JkZ/LiSPAlN8tFMS5EI/LMZ/7nJ9nAH444W1gWWIDD3x0v8FVlcyuLnGcv/WWPG/W45/+9G03bymuKxJEoZCERlmWfw1Ngu7rr8vrluXn9HR2+gX9ymUZW3fvloXErl0ybqxi6jeJb4G7Mv+vS+PfEEss79FKpBIc/MxDHH71KNrT5ObzJNMN8rsrlHFrLgszGTTQt6MH7Wkq4xVmhmbJzmRJNidBQao1SbwxxszoHAP7NlLMlzh96ByPvLCfoRMjnH33IqVimdbuZnY8Nnh1UbASKKVkJ8DZCN68VPm12j60cq9bcxm/OMXExSnCsRCtvS3Mj88zfn6ScDzM5r399GzpurqAqJSqZGayDJ0cpbmzCaUU1UqNSshmfmIBrTU7H91KPltk4sIUdsimYVOCnsEuqqUqm/ZsoLWnha6BDjzXo21DKy1d6TsfmnCHCYVtentveWfiEDColNqEdPovAb9cf4BSaj/wH4EXtNZTt9PWdcP1VHkiEZlJL12ScCCjBgQy+SglE1CxKBO71r4k6NSUHGviWB1HDIB0Wia+uTmZactlv0JlKCTG7S1Xy7kzPPRQD1u2tDA9nScctunqSi5JNl4WreW7GGvBcXzjXCkxrGIx37gyIT/ZrP+86/oSis3NkmxppECNR9Bcv9ZWv8iP54l30BQGW8VEo4qtW1e4ynjAUq6V1zE0NorVq7XkA0xP+4mjRgJ0elpud+2S3+HoqF+3wuT5NDXJ/fFx2Vl0HAkF+tznZEfg8GE5X1eXxKl/WIzPXWb/fhn2pqelqd3dNyFc5royTp4/L+Pmhg1yAuPZ37tXFk9mBWGq7h4/Lq5ws5AqFuX5QkFKHc/PyzlDIQntGRyU8WHvXnnfzp0y7vT1yfW7G3LEd5Cb8PzfiLsy/69r4/9GdPS3kUwnyC3mKGYKFLNFCtkirb0tTA3NoFCEIiFGTo+TaIrjuRonZKM9j8bWJBMXJ8nOZGnra6XaXiWfKZJsbmBmdJ5zRy5y4s0zpDubSDSJZOUb3zjEx37hIInUyqpTKKtRCoHdBK7rcujVI0xemiLeGKdcKPPK135I16Z2+nduoFZxOfTKEbKP5tlxQORCI/EwC9MZysUKzZ1NVEpVivkSWmuciMPwqVH2PLWD8EIYLGjpaqYhlaCQKdC2pYNkc5KmDlH1uZ+oVlxGbtHzr7WuKaV+HXgVkfr6mtb6uFLqd4HDWuuXgf8daAD+8spCaEhr/Zk70/p1iFH7GRvzjdtKRYxZE7JiNKWNXJ0JEYrFZDJbXJTjIxGZ4CIRmcCKRZnkHMeXq1xc9KVDV5BUKkoqdZNhPlqLEV+p+Ko82ayvpKK1LHYaG/2QHOPlM7kRZncF5H2ZjBj4JknaXD+j5pNIyHOreIt/OUoljzNnCivdjICbpbdXjPG335bfZC4nt729kugL8hs/fVqMfLPDV6tJaM/ly+II6O2V3/PiopxvZEQC7f/xH+VxKiWvfeMb8NJLK65OU99VPxTPEzmgM2d86eQ//mP5znv3yrV49VXZAXn8iuRwJCLX0cisVipybT1Prt+ZMxK3FLoizNLdLdc3lxPvf2urXN8HH7xr1+BucDsJv3dr/g+M/2XwPI/33zhFZi5L10AXc+OLzE3MEY1H0Z4Y+U7EopQvAVDIlqiWKiil0BrGzo6jNcQbo0TjESaHZihkCoSjIeLJKOfevUhrTzO2IxNcMt3A/OQil0+MsPPgtpX86kvQWoqdWbZFNP7BWOXp4VkmL0/T3idxjIVsESdkszCVoX+nYnF6kdFzE5x86wyzLx1k8MHNZOdyWJZFuVihlCtRzJcoFyp4rotSFpVCGbfq0dKZplquUSlVyekc8cYYPYNdLE5l6N68sh6SWyEUsuntvfWBXWv9beDb1zz3b+ruf/LWWxewBK0lIa1UkomnWBQPXX1BqnDYlwZ1XX9HwLL8xYHx/Bv9cBMyUCrJa8ZbbRYA5fKKG/9LqK+Mu5xn3eQ2mMVPrebLpoK/u7GwIJN2Y6Mc7zh+bH+1ujSJ1+wCNDb6rxvpkeZmOd+GDR9syypHPP93Xjwh4C6gtZ+su3mzjAWjo750pykMaCRpTT0K87s/e1ZuGxtlsTo0JJ7sZFL+3n1XDF/Tb0z9gGPH4JlVlKqltZ90u1zm79iYhDIZPdHRUenbs7Myns3MyOtvvSWLnkcf9fN2SiVxFBhHiOn3hYJcy/Z2uSYm/r+hQaqUzczAE0/c2+twBzAK0bfK3Zj/V9FMs3qYGZnl8vER2vva6Ohvp29bD29/5x0mL06z5cHNtPW28J0//AGZ2SxKKaJxjQYs2xKZylgE0NQqLrWaSzwpoT+WbbH3mR2cePPMVcPfEE1EWJzJrMj3XY75qUWOvPY+uXnRPu7a1MHup3YsWQRMD89cfex5HpMXp65o9pc5994FFmeyJNMJ3JrH6JkxfvzyYQb2baS9v5XmjhQzY/No7WHbNpFYmFrNZeCBzRSyRSLxEC/99y/y5suHsSxFQzrB4kyW/t0baO1d+aIdH5Vqpcbo0OxKNyPgZjBxuw0NMlm3tPgJwm1t8ty5czKBwdLYfRNEawxZk1NgqoO2tfkLgXps2/eArwaMPMW1361+EWAKHpnjSyXfkDcGkcmJKBbFmEokxCgyOyhGxs8U+2pu9pP5DhwQQ8qoLxUKsohIrVx45K1SKrmcOZNb6WYE3AxjY+Kd37BBDNsdO0RQ/9QpSdrt64P/9J/Es6+U7GB5nvyGjVoV+MXqGhvF7RuNwtNPy8IifM1CMJGQMWe1MDsLr70mbdJarsMzzyxdBIyO+gIGnieLnGxWHv/0p37Sc1OTjJ+vvCJx+l1d4tEfHvavWzwu12v/fhkrbBv+9b+W+glKyXlmZyUfa+PGe345bpdqVS7XaiIw/pdh9PwE0UTkahx5rCHK/o/v5dCrRxjYtxHtemx/dAujZycoZPI44RD5xSLa1YRiIUBTKVWplqvYjk26PUVhMc/Dz3+Czo3tnH77PLVqDSfkX/5irkj3lk6y8zlGz01Qypdk8dHX+oGFwt1mbmKBv/o/v0VuPk8iFaNjUzsTl6eplKscfPHhq9clkoiQmc0xeXmKUz85x+TwNOVCFdtWDJ0aZe/TOylki0xcmmR2Yo7MTBbbttj6yABPv3SQN795mOFToxBW2I7N4IObaWxNUi1XKWRL9O/aQNdAJ1ND01RKVZo7m0h3NK36+P7r8iFaXwGrhMVFMVrN7ywUEkPA88R4V8pXBimX/ToAIJOWUn6FScsSY6BalW3+hgbxfl2b6GfCBlzXT34zHsZ7/Xv3PGl/PSakqX4BYFnyvYx6T6nk63BXq/JdazV5Pp/3vaOplMTxXr4sYUFmtyCdlmvlun58fzot/49aTc6XSKz6+P7rc3ekPpVSzcB/ATYCl4Bf0FrPL3PcrwL/05WHX9Fa/7FSKg78JTAAuMC3tNa/eVcaer9w6ZL8Dk3/jMfF8M3nxfi3LFmYnj8vBqkpBuh5vjFcLsvv3rKk3y8siPbmli1S2bZcXqr8lc3KImNxURa82ay/+LiFiuG3xews/Lt/J4ubVEraMDoqCbqf/7x/XRIJGctGR6Vq8tCQjAOOI+FQTzwhjy9dkt2TqSk/qfell+DllyX2H6S/G21TU3BtcBD+1b+S8xYKEvbT0bHq4/uXo76G5GohMP6XwbYtKZRVR7K5gbbeFuYn5rEsi1K+Qv/OHtr727hw5BJuzaVSqqA9TSgSIhwLUy1V6RnsINGYYNuBLfQOSkb6jkcHOfL6cRpbkoQiIXLzOZyQQzQR4fW/eBPbslCW4uKxIZLpBmLJGAtTiySbE2x7eAsd/Xey4oZPMV/i9NvnePn/fYW58QU2bO8Fpbj40yF6BjvxXI/sXO6qXKlbcznxk9NMXJhiemSGSqkGGuLJGJ6ree8Hx4g3xkikElw4colSocLM8CxDp8fo39HLp//b5/j+//e6qIkohVf1OHfkIpZS7H5yB1provEIfdvvr/je5QiHHTZsuP92LNYly00ukYgYn6ZAVaXiB8gayVBjHJvKtJ4nuwThsBixRpEmHpfJzbb9+gHGs262xUGMB3OM8ZBFox/0Gt4ptF4aamM+27x2rdGttVyPQsH3chpFjlpNrov5XouLfrJvPi+Gw86dEuNrvr+pKAR+8mMo5Fceuo+RsJ+br/j6EflN4Ada699TSv3mlce/UX/AlQXC7yAygBp4Ryn1MlAG/g+t9WtKqTDwA6XUp7TW67dOiOm79TQ1iRE8OSljgTFOP/lJMWBN0qpZAMTj0i8GB2U3a98+KVIFktz7ve/JjmIsJn0e5Lg//3M/n+j992V8Saflc5uapILt3SpiVyxKEvLv/74Y3Dt3St89flw+s1YTb77pm64rUqcXLogX3+z8JZNy7Guv+RLHR4/KNRsakl3TbdvgX/wL+M//ealT4cgROffBg37+1LbVEwp9q4RCsuGxmgiM/2XoGezm4rFhXNfDtmXyy87l2HlwK3ue2sHCdIZkcwOFbJG2Da1Uy1UmL8/Q3NFEvDEmMf7ZInbIYeryDJY9T24hTzwpOwj9uzYQjkc4/sZJFqbEyN72yAA/fvkweJpLJ4bJzEtI0fiFSbY+soWuTe3MjlV48xtv8+iLD9G9ufNDvsVHo1Ku8uOXDzF8eoxqqYrrupz88WniqTjdAx2MnB5n454+pkdmGb84iVtzOfWTczS1NnLkB+9TzJXEI681lYiN57kUsgV6BrvIzGZxXYjEI4QiIRKNMS4eH6KxNcm2A4OcPnSOYqaAUopUW4pYPEK5vLaqYVYqNUYur6Jt3YDrk0rJJFfvnS+VZNLr7ZVJ0lSgNAZ9oeB76s0kaNt+DKvrymvt7X414FzOVxJKJMR7aMJnTPx8rSaGRCQi7TEe9ZuoGvqRMNVyTdiO8dib4lomR8Ek6GotRrxRPjIGPPjhQkai02ijm/Aex5H3hsNyTScm5LyuK9/L5ASsISTh966FdX4W+NiV+38MvM41xj/wPPA9rfUcgFLqe4gyyJ8BrwForStKqXcRKcH1y+bNEpdvdrFAPPf794v3fnJSDPfZWQkBUkp2AdraxFC/dMn3gA8PS8jP7KwYws8/L4uAaFSqCV++LMbtgQMSFuN5siCemZG+d+GCJLdu3iz97JvfhNmOAEEAACAASURBVE996s4bxNUqfOtbEtpUEgl0fvITv/Dh+fOyGBgfl/j9Wk2Sobu64Ic/9Bf6Jj/HiAFs3iy39eNYY6PsDLS2ymLm0CG5vuCHVZowyTVCternia8WAuN/GVq60ux6Yhsn3zqDVMzVJNIJHvzEHhKpBE1tKXq2dHL60HkuHx8mEgsTbYjQ1JEikUqIgk22SDQZpZgr0dLVTLVY5ZU/eo3x85M88Im9TF2aopQrE46GmRqaId4QZej0KGcOnaNW8yjny0wNS7jL8Jlxegc7ae1qpqkzReSH79O1qYNyscLC1CKWbdHc2bQkjMjzPDzXW/KceX5xOkO1XCXZ3HC1xsHkpSlyCwWckE2lXKOwWCKeilEpVViYXER7HspWjF+YIDuXI79YZGFqgexiAa/m4oQcQhEb13Up5kqEwiGUgvxinsXpDJYlMqnhaIhKqYrj2Lz97Xfo3NzB4nSGhnQDtqXILxRoamukqaWR+clFWldpxd6PSjjk0Bt4/u8PEgmZ1CYm/OciEZnoIxEx/JuaZIFgytM7jkxuZuIrFv16ACacx2xft7eLoW3qAZiqlSY8xsTbGyO7XPZrBRgj3HxOrebXHqj3zF+vhkB9LL/ZpYClSbem/oGprmkMc8eRBYpJ0jXfwbzXYB6bHQCTy2DOabyqExPyfYx+v8mTiEblWhaLd6nE6L3nJjz/N6rw+WF0aK2NlsgEsJwiwnJVQnvqD1BKNQEvAv/+Jj93bdLeLtW23nhDHmvtG+7ptBj+g4NitB4/Lr/dhgZZyKbT0ifOnBEnQjYr8e3VKvzJn4gx//zzYglmMjKWDA3J+0+eFIPbyAgPD8vtqVPyed3dEvrygx/I43LZzzvo7Fy6I2j67XLjwvS0jDX1u5FDQ7JAiUTkvIuLMsaVSr6sqW3LYmV2Vr7X+LiMV5WKXANTpC+f98elTEaOV0rGufrCfd/5jnyPqSn5LKOe1tws33VsTMbcNUDg+b+P2PLAJnq2dJKZzeGEHZraG7FtP/Y+FA6x+4nt7Hh0ENf16Bro5M1vHGL03Bj5hSItPc0sTCxg22FymTy1Yo25yXmK2SKnD0kl3gc/uZeGpgS1qss73zvK6UPnsSwL7dYoLBaoVVw810MpTblQZn4mQ83zGDs/QWY2w8SlaZo70zS1NRKJR3jwZ/ZiOzbj5yYZOTtGpVQl1Zpk1xPbaelKU8wVOfTKEaZHZsnOi5Gx92O72P/sbhamM0RiYfKWTaVUJtnSQDlfxnM1Gs3CVAYrZNPR10Y0EWVuYoH5yQVmxuYIhcMyviiFW9NYysKr1WhqayIzm2N2bJ7G9kaS0Qj5hTzVcg2lNIlUAq/mEW+MEYmFSXc04Tg2TsQhFAlRq9ydGNmVoFKpMXop8PzfN7S3y+RYLIrBGo8v9USZWN62Nj9efXjYn/hiMbm1LN+LX+8xt22Z5IwRv7joJxDDBw3q+mTgSsU3wI1cqGWJAWGOrQ/diUb9vARTiMx41mMxX5YT/LAdE4ZjvmutJu02rxm1nnJ56bH1OwBm8WOSeh3Hr4dgnjNhEkZByYRMLRd6cR9zE57/G1b4VEp9H1huu/e36x9orbVSSi9z3A1RSjnAnwH/t9b6wkd9/5pjzx7xWs/MyO+2s9OXnwXpT48/Lh571xVP/F/9lR+v39UlRm84LAbwzIwYy9msxPxrLSFDzc3SF/7+7yUR2HzG4qL0r1rNFwwwybfnzsl5LlyQdrW3Sx9+7jk59tw5aUexKOPS449L/kChILsLRn3IdWWR89xzfltNMcLWVrk1oXxG/L+/XxYMk5PSnpERPy/J7Aya8aK9Xdo5MiLni0b9cc625TwmTCgalfHUtMHII68RKhWZHlYTgfF/A2INsSXVf5fDdmyUpfCqLi2daVH2cWYZOTVGZi5PW28zpXyGQraIZSumx+bIXalOe/zNMzz0yT04YQcNuFWXqutSKpTxPKn863kat+oxcWkGZc1ICK3jkF8oMLB/E5dPjDAaskHBG994mw3bu5m8NE3npnYGHxqgWq7x5suHePoLj3Hix2c4+94FRs6Mg+cRjscYPv09vFqN1p4WquUqiVQM23GIxMJE4hEWpxZRKDo2tVEp1ahVa1w8NozlWFfUjTS1ShVlKdy8e1X1yAmHaN3QjOd6JFJxQmGHWDxCNB6ikC0RT8bo2txBsrkBt+LiaU0sEaEh3cDiTIZysXw1t2AtEA7b9PStjV2MdYMJd7kRxjuutSwQTCVgI++ZSMjIb44x91MpXwLTxLvWG9bGQ2486OB708zkGo/LRGqM7WxWJk/j8YvHfeWdZFKOLZX8SdV4+bWWybY+rr/eW2jaVq3KfRPGU2/0m4nfnMMo9FSr0ibP8xcqlYq8Fg4vNfLDYfkzdQDudGjTChKNWmzdep2iUjfBjaT8lFKTSqkurfW4UqoLWK7Izyh+aBBIaM/rdY+/CpzVWv9ft9zItUYi8eE7T+Y3Xa2KsRuPi2F88qQYzKZgXSYjx42NSV7LAw/IzsJzz8nv3PTpUskv/mfGALNrODzs5wOYMKRTp8TYt21Rxtm5Ey5eFEWchx+W937rW1K1+MgReOcdWRiYitpnzkj7du70a2lEIn7ewuSkfKYJ3/E8WbzU5yuZAn9GltNcE1OLo6lJxsVkUs6Zzcr9zZtl8WOEAOJxGQ+np8XR0LJ2dspDodVXhDgw/u8Ac+PzZOdz7Hl6B26txoVjQ0xdnpZddceiVqmRncsRT8WwLJvZxXlKOTGAvVqN7Y9txbZt0u2NzE0sUC1VqVZrYCm0p3FrHq7rYlkKz9U0pEMsTGe4fGKYUDhEtVTBsh0q5TLFbJGtjwxQzJU5f/QSm3f3oT3Nj/76Ld761mGGTkrgmRNysBybhlScv/vqD/jF/+GzhKIh8gsFOvpaKZcqzI7N07W5g71P72D4zDhnDp0jt5BjfnKRaqVCpVSVqCgQbz8ejmNj2RYNTXFsx2Z2ZA7P8yhmi6A18WQczysQT8Xp372BzHSGxrYkU0MzLExnUJYiN5dj+y8/STx51xLk7jmB538NUyrJBNjeLpNjJiNevkpd3oqR9/Q8eX5hwZfBbGryjXqD8aDXe+TBD9cxdQHMfXOsSZIzoUdGdjCT8RNzzWLD/GWz/nPGeDeLFRMaVB/+Y5SM6j8Xli4G6lWPzHPXevtTKWlTLOarAYFfufNuJTavAKVSjTNnFu7W6V8GfhX4vSu331zmmFeB/1UpZcqMPwf8FoBS6itACvjnd6uBa5qpKQlhe/pp+Y2fPClx/2YHy3XF097QIH1+clK8/I2Ncvxjj8lxxvA14wn4O2fGIVCricE8MwMnTvhhNJYl/ebQIXjoIXnuvfck0dhxpIjYt78tScQg1qipQvz1r8Nv/ZYY5PPz0vcKBRnDNm4UpaPLl2WxcuyYtN+EJpmxwYxDppZJKiWfcemSr95jxrrFRVlU7dsn52pvl8WNSaaenxdVoaamlfl/3gUqFfmKq4nA+L8DlAqVq/KTtuNQWCzSu62HzGyO3HyearlKKOLgODalQplYQxQn7FCtVrHDIU69dZZSoUQ+U8QJ29RqLonGGF61hhsO4eorHkBl4UQsajUPChWGT42yYVsP0yNzOBGHWEOUWqVIqVChWq5w/I0hZkbnmBubJzefY+TsBJVSBWVBOBLGCdvMDM8wdn6CcrHMnid30LdzA8OnR6lVXR79uQfp2tRJdi5Lc1cTbs0jv5Anl8njVl0c2yYcCWHbFrZjEYrIZG2HbKKJCKFImEhDFLtSo7krzfZHNlMuVBk9P8GORwfp3dLF+5OLNHfKfBRPxnBCDgc/+wh7n9q5Yv/Pu4JmTYUxBNRRn5xqvGGJhF8ZuF7/3xi+9R7+TF04iDHgjWZ4PfVGudmOj0SW7giY50E+3xjqJkwH/NfNYsOEEMXjvsShkRo1xnp9CE99SJKZ/Ot3AMxfveqRSWp2XTEETAGkQsH38Jvje3slnGHNcdfCGH8P+Aul1JeBy8AvACilHgb+O631P9dazyml/hfg0JX3/O6V53qR0KFTwLtX5rH/oLX+w7vV2DVHfXKq48jCfutWMdDn5/3dr1BIjk0kfGGASEQMdrM7YHbuUim5NX3D9Pto1N89PHlSkodHR6XfpFJ+YT3XFa39iQkxqmdnZYegUPB35SIR2U2IRuF3fgeefFJ0+E+flra98IIk+87Pi4FuFjEmJMlx/N07Expp6poYUYKGBmlTR4eESJXLsvOwf7/E+4+P+9WvEgk55wsvSGL1GmLNSX0qpV4C/i2wAzigtT58neNeQJKIbOAPtda/dzufu9pIpOJordFao5TCcz1au9K097XR0JRg7NwY2tNUSjViySi9g11MD89QylVQaM6+ewHLsWjtaaZSVDSkEsxPL+K6mlR7IzOjsyhlgYZqqUr4ajJtgZHTY2ilSThxKoUyWsP4uQmqlRqWbVEpVMjMZJgenQOlsRyLUNihUqhQyNaIJWKEY2EaGhO8+/1jnD58nraeZuKpONVSleHTo0RiEWzHIp6KMXx6FM/TeK4kFIfCDl0DXVSLFRJNcVzPo5wt072lA8uyCUdDRGMS16y1Yt+zu9GeRzQRJZqIMPjQZk6/fRatoXdrN33be9j7zBoz/BGpz57++1+ysJ6g/1/BhAbVe81NSI4JYzEGeDQqBnal4hv3popmPL40rAd8z6E5v7k1RrfxEJrHZmfBYBYZ5nz1ijzGqDdGd6EgHnijcGLeW59YbEJ76mVNTT5BfS6ACWUwiwbTxqYmPxfBccSLOTvrJ1U2NooxcN9q+S+PhP3cnTBGrfUs8Illnj9MnTdfa/014GvXHDMC3NLFDvr/FVIpP0TPhMh1dYkHPZWS2HyTuJ9IiNE7Oir9HkQG03XFy57PS58YH5e+1tEhMfNmXDD1AUzoz5kz8pqRIQYx8k2Cbqnkx+aDb7AbcYFYTNqUSsHrr8tCxLTbJC4bsYGWFgkzMmOZUTAbGJDFS3Oz9P18XhYNjiPnj0al7ZUKPPusf82iUQlNevtt+a5btshi5mMfW3P9Pxz2o6BWC7fr+X8f+DzwH693gFLKBn4f+BlEYeCQUuplrfWJ2/zsVUNTWyPdA52MnB0n1dpIqjXJpePDDD64Cc/1qJTKzE0sAIpEY4xa1SXZmqS9IUqlVKFaqdLe1UaqpZFysUxDuoGBBzaSncsxMzqL57p4ngYNxUJZQm2UhAAV8yWUpagWazSk43iux8X3h1CW1CpYSC2wMJ2llC+j8NA1jWd5uDUPpSw8rXEiDsVCibmJeWbGZmnb0EIlX+G9H77P3md20bkxxZl3LzBxcYrG1iS1co18tkAoHJJFTbHMgef307O9m2Rzgr/76vfxahpsj817+inly0wPzzBxYZK+7T383L98nuxMlpEzY2itefATe9j8wEZau5s/NMfifqVSqTF6cc2F/QT9H3wPVzYr90MhuW/CeYwcppECNXGxJs4e/EQ3Y0Sb0B1jtBtj+9qFgDGsjSFvjAzwjfFrk4eXUwWqXzQYY96okRhvpMklqHdhmXOlUv6ugTFWtBbDwsQyF4uywOnrkzaaaqCdnf7773VBo3uEVPidW+lm3GmC/g9i9G7fLp74lhYJ3zl6VLzbJldmbEz6g0lybW6Gnh4/Ab6nR96bSMi4sW+feNmHh/3Fu1HMMWOEScK3LD+51/NEgchUzJ6aklAiE49vEnLNjqTWfp7SxIT0y/5+afNrr0mhrv5+CRc6e1YEDmo1aZvJ5cnlxFO/b5+04Q/+wN8l3LVL+v7wsOQi7N0LX/6yjC0nT8rnf+xjkgPR0+OrD60xKhWJgFpN3Jbxr7U+CVwNebkOB4BzRkFAKfXniC7xmun8Sin2f3wPLd3NXD4+TEd/G5F4BDtkY9sW4ViIxqFZdj25g1M/OUMoGgYNAw9s5NTbZ6lWapRzJWbGZtEeWLaibUMzOw8O8s6rx+jd2s3FY5eZn8oQjYbxPI9qsUwkHgY0luNgWYq5iUVCUYdUc5JirkQ4FqZYqID2cGs19JUxo1qpoZUkFDshi3R7irnxeZxwCM/1sCyLxekM0yOz/PT192nrbaGlOw0KauUaoWiIhIpTyot0ZzgaJtWZIhqPsPPRrRx65QjJdJJIzI/ZdV0JI/rkP3n6qvzozse34bke0fjaSey7HuL5XzsJTBD0/yUY/f5sVoxY49k2CXqmWFUm4y8IGhv9ydwkzhmMNy+fl/MahRxj4F9bIRj8hUIo5IcUXWv4X1O88OpCpFr1z3etnn8otNSDb+6bx0Z61LLEeDELoHp1FKXEMOjs9D+npcUPcVpjnr5rEc9/40o3444S9P86nnlGftvvvy9GrPHOO47vWX/ySfGsG3WcPXskLr9SkX4+Our36w0bJBfgu9+VhcXRo35MvCmuZ/J5TJz9xIScu63NH4dMLY76vIH6UETHkd2FyUl/4W1ZsmAYHZUFQH+/32+NXKcZuyIRedzbK+8/eFDanEwuTZauVkXd6J/+Uz+X57HH5Hmz47mGCYXWnuf/ZlhOX/jR5Q5USv0a8GsAffeZvqvt2Gza3cem3dJut+YyMzpHdj7Hwy/sp5Apcu69C/Rt72H49Bg9WzoJhW2mLk8Rjjg0tjVKpVsgM5tl4uI0T/38o8xPZijmSlQrVWpll1AshGVZRBJh5icXyS3kwdNYtkU0HqJaEbWgRCpONBFlemiGmuuhbAvLBjvkUC1WsGyFbVl0bu6ge1MHZ969gGUpEukEo2fHWZjOkkjFyc7nOHv4PM3daRLJOHO5eVzLxXZsqQNQrJJoirP9wBa2PjRAPBlj9xPbOfajk0QTESzbplwoke5o4uCnH15SdyAcWZtevuWolKuMXlhOhGPNsy76/9WQFpOkZhJuTSKw68qEbIpeGS+5SZozxjP4nvLWVt9bZ3YMYOlEWZ8IbDBb/svlDdQfq5SvaGQWCUaNxyQce55fs8BIdZrwhvp8gHhcvpu5DgsLS0OBQiEx9q+VS11DhXxuhCT8rrmdv5thffR/2xbFnJ1XQlZdV7z9MzOi618siuG/fbuEzmzaJH3m0iXpG+3tfrjd3Jx42b/wBfHcZ7N+ErAZJxoa5LWFBb+/x+Piuc/nZbGRTIrH3ST5mxC9YtFfmG/aJOFGR4/K46YmKeg1PS0GfjYrVX97euS1bFbO5zjyerEot488IiE8TU2yEPr+96UtJpywuRk++9mlSfxG3WsdcF96/m+kL6y1Xk5V4Ja5UtTkqwAPP/zwR9YqXk3Yjk1Hfxsd/W1Xn9u0ewPlYoVirsj4xSlyczmSLY10bepgYSqDE3FQyqJSLBONt9C/u4/zRy+zYVs37Rta8FzNzMgslqWwtMKtuFhYtPY3Uy5UyGcKKLuKbUvCreeKYeA4FspycKsekSsJupZSNHelaelKo2xRJHIiIdKtjVTKNWKJCHOTBZLpBhqaG5gbnyeSCJNIJ2jvbQFLUS5UqJWrfPrXfob9z+65+j2feelxItEwl0+MUK3UaO9r4anPP0aqdW15vj4K4YhDz8b7L+Y/6P+3iFIyGcfr5B3Nlr/ryqRpYmZNKI0xlk2yrakiHA6Lh80U2DI7B8ZAr98NMOeo97rXU68OVC9lWu/FBz/XoF6f3xj7piCX+cyWFjEADG1t8jmmLkA8LsesIenOj0o0arN1a2qlm/GRCfr/LWLb4r3fsMF/bscOMYQLBckDWFgQo7i/Xwx5Y9gXi9Jf9uwRdZ3BQTkGRHWnXlMf5DMqFUnENfk7Jrne7NwZOVKzKwfize/qksdmXOns9A36sTEZs1paZFchGhXjvqfHzycoFOCf/TPx6ht+/ufluxw7JuNXb68Y/msyif/mCIdXX72yDzX+b6QvfJOMAnU9gN4rz607bMcmnowRT8Zo6WqmVq1x4ifnmJ9YoGNTO/lMgXKuRGtvKw98fBfxhhh7n9nJW3/7LufevUBjSxIFKNuilCtRLpZp728DLdr6SinijTGisagU0HI9ZsbmSKYTRBNRGtsaUQoqhQp9O3r5lf/5C5w/OsT4+QmUpTj7zgWGT48RS8YIRx1qFZf2/jZsRyr3plqlgrGlFOVimaa2JLse304osvRnFE/GePaXniS3kKdWdWlsbsB2rmOMrBPE8z+50s34yAT9/w5iDPX6eP9czlfOMMo8oZBMvmYSz2R873t9Ma36hF2TcGiOMQnA4Mt4hkK+akgk4hcYMipAZqfCHG/eazCqHvUyoMnkBxcati2eTBM2ZNq4jrlfPf9B/7+DmMJWyaSE2nieVPQdHRUP/OKiLJi7uyUxNpGQ25dfFn3+VMpfTJTLosrT2yt9y/Rho6VvFuOjo2KwGw19xxGDfXBQFH5OnJCk3nBY2nLqlBxrVHp27fJzgFpa5Pwm/Cedhhdf/GCcfiIBv/ALUsOgUpHj1mguz81SLst6bzVxL8J+DgGDSqlNSKf/EvDL9+BzVz1OyOGBZ3dx/I2T5BelCFjvYDeRWJjtBwYB6Nvey8zoPIVMnoamJE3tjcSSMdyqS7lUJjdXoLmjCSxNMp1gamSWeGOUcNShmC/TvbmT+amFK2FBEQqLhSue/gq5+TwHP/0Qh797BNuxae5s4ujrx1mYypBoinPghQfAsliYWqBSrNC3vZtNe/qu5g7EG+PMTy7Q3tf2ge+mlCKZbrjXl3T1ogHv/nZm3SJB/78eSsmEvri4VCPbtv3JOxr143XN68YAn5tbqrpjVILqNfvNroJ53dw3XvtEQgwOY8zn877HP5Hww46MXGe9996EFV1vYl/nE/4HWTsVyz8CQf+/HpYFn/iExNWbWhuDg7Ljd/CgHLNli4TUzM3JYr21VcYGo6o1Pi4edaXEOB8a8mV0s1lR4pmY8BceCwt+3P/MDHzqU9KvzYL99dflnK4rkpu27Rfd2rZNpEDN2JJKyWvXC2ZfQzr9t8talPr8eeD/AdqAv1NKHdFaP6+U6kYkvX5Wa11TSv06UmTEBr6mtT5+2y1fI+w6uJX8Qp75yQWUUmgNfTt66N3ql4OLxsN0bOygqc3fWrciDg8/9yBjZ8cpFcvEEhHCkRAN6QYi0RCb9vYTjoYo5Yq899pxykWR/Ey1pki1Jdn2yBaO/cNJ7JDD+PlJ2ja00N7XSvdAF8f+4QTVcpW+nb0kmhJMD82w95mdpNoaOfTKEaLxCKFomIWpRaKJCBu296zEpbuvCEccejbdf2E/NyLo/3cAM5HXJ/vGYn4yH/gJtfXGtFK+ko5JmgV/+97kFLiur/RRH8YTifjFgczOg1EjMscbDe9azU9iNkZK/UIjGr031+o+RsJ+0h9+4H1E0P/vAI88Iso5IyP+Dt7WrX7uAEg/N0m3BtuWhcPZs7J7GI9Lf02npS8/8IAvFGAWF6agVksLPPqoFBqLxcTb39cnnzE4KAuAYlGM/bY2CTU6eFBe/9u/9euBmFClPXs+8LUClhKJSGrFauJ21X7+BvibZZ4fA3627vG3gW/fzmetVSKxCE987gALU4uUC6KV39i8dButvb+Ns+9cwPM0liXb8eVihaa2JM/+4kGO/cMpFmcyRBMRnnrpceYnF1iczmBZinA0zD/5Hz/Pkb8/jmVZxBpitPW2EGuIkpnNcuGnl8BSVxUbUq1J9n98N6fePsfEpWk27Yry2IsP0be9F6UUT33+US69P0RuocDA/k307+wllggm/w+jUq4xen5tJfwG/f8OYFm+PrYx4q/1mIfDMhnXF9My4UHptBjrxhA3iwnjZjL63Ka4T/3ugesulQUF3+Nv1IVsW0IAjEKJZcmiwdQsMF7DgBsiYT9B/w+4hmhUQmempsS73tgo3v16enrgrbeWKnyVy+J5/63fgjffFMM+HoeXXpK6GZOTvhPgN34D/uEffIdBT498zvw8HDmyNMyvqQk+/nFJ8r10SY772Z+VxYhlwRe/KLH8c3Mi27lr15qV57yTlMtSfmE1EVT4XQVYlnW1yu1ytHSl2bSvn4s/HcIJO2jXA0vxyAsP0NHXRntfG9VyFduxsR1b9P2nM1RLFRrSDWjPY/TcJK09zUvOa47H8wuUASRSCfq29/LQc3vp2dK15D3NnekbtjVgecJhh56NHwyPCgi46tm/HqZYTrHoT9JGM9zsCJiFgdmSN8l+xlgwYUPXfq45V/3CwqgPxeMfTNKtTxIOuGnE89/84QcGrD+UkhyA69HeLjUD3nvPj7/3PFER6u/362aYhb3WEtJTLIoxb1mi4NNzzQ59fb5Q/cKisVF2H559VtSJrm3LJz5QTy7gQwiHJa1jNREY//cBSin2PLmD3sEuZkbnCEVCdPS3EU/Grr4ejoaXHJ9u95UlPM8j0RijmCsRa/C99PlMgW0H9jI3Ps+l94dItTZiOTaZ6QxN7Y1LlIoCbo9KucroufGVbkbA/YhRDgqH/bAeE5JjXq+X/zQefoNZBFxbG8B15bxmB8Do7ZvwoHUiw3cvKJWqnDkzsdLNCLgfUUo08QcGJDzIcSSGxOQFKbU09E4pCdcxaC27f5nMUlWuhQWR5VxchHfflfc4juwcpNOwefM9+XrrgcDzH3DLKKVu2etuWRYPfHw3P/7WYQqZAk7IoVws07Gxne7NHXQPdNDYnOTisctUShUGHtjI5n39SzT5A26PcCREz+YbeHcCAm7EtdKcH/W98biEFZhiXkYC0Bj4ti0zlOeJtz8SWfOFd+4l0ajD1q1rq8hfwD1EKfG6t7ff2ns/9jH45jclP8Bo/ff2iofftmWH4Kc/ldd375ZqvcHi/44RDq+xmP+A+4fmzjTPfulJxi9MUsyXaOtpobW3GfuK93DTnj427VllQrRriMDzH7CiOI6ECVUqfr5AvXSoMfgD7gqB5z9gRWlrg1/6JQn/yWZF37+vz98hrC9QFnDHKZclN3s1ERj/64h4MsbAvo0r3Yz1idaSqxEQsFIEyjwriGadSn0GwXoltQAABKBJREFUrBYSCUnSDVgR9CpT+g6M/4CAe0A4EqJ3y62H/SilXgD+PSKX94da69+75vUI8CfAQ8As8Ita60u3/IEBAQF3jGg0xNatQQ5VQMB65HYTfu/G/B8Y/wEB94BKucrImVsL+1FK2cDvAz8DjACHlFIva61P1B32ZWBea71FKfUl4H8DfvE2mx0QEHAHKJUqnDmzPgvbBgSsd8plKaR8K9yt+T8w/gMC7gHhSIiegVv2/B8AzmmtLwAopf4c+CxQ3/k/C/zbK/f/CvgPSiml9WrbbAwIWH+I5z9I+A8IWI9EIiLWdIvclfnfut4LAQEBdw6N1FK43t+H0AMM1z0eufLcssdorWvAIhDIiwQErBr0Df4CAgLWMqacynJ/H8Jdmf9Xref/nXfemVFKXb7N07QCM3eiPWuA4Fr43Klr0X+zB14ev/jqf/OVX2q9wSFRpdThusdf1Vp/9dabdn8T9P87TnAtfO55/x8fv/jqV77yKzfq/8H/po6g/99xgmvhswL9/51Xv/IVtarm/1Vr/Gutbzs7Sil1WGv98J1oz/1OcC18VuJaaK1fuI23jwIb6h73XnluuWNGlFIOkEISf+5Lgv5/Zwmuhc992P/XHUH/v7ME18LnPuz/d2X+D8J+AgJWP4eAQaXUJqVUGPgS8PI1x7wM/OqV+18EfhjE+wcEBAQEBNzX3JX5f9V6/gMCAgStdU0p9evAq4jU19e01seVUr8LHNZavwz8EfCnSqlzwBwyQAQEBAQEBATcp9yt+X+tG//rNmZ6GYJr4XPfXQut9beBb1/z3L+pu18CXrrX7Vrl3Hf/57tIcC18gmuxPgj+zz7BtfC5767F3Zj/VRAZEBAQEBAQEBAQELA+CGL+AwICAgICAgICAtYJa974V0q9pJQ6rpTylFLrMttdKfWCUuq0UuqcUuo3V7o9K4VS6mtKqSml1Psr3ZaAe0PQ/4P+bwj6//oj6P9B/zcE/X8pa974B94HPg/8aKUbshLUlYb+FLAT+CWl1M6VbdWK8XUgkNxbXwT9P+j/hq8T9P/1RtD/g/5v+DpB/7/Kmjf+tdYntdanV7odK8jV0tBa6wpgSkOvO7TWP0Iy4QPWCUH/D/q/Iej/64+g/wf93xD0/6WseeM/4KZKQwcEBKxNgv4fELB+Cfp/wLKsCalPpdT3gc5lXvptrfU373V7AgIC7h1B/w8IWL8E/T8g4KOzJox/rfUnV7oNq5ibKQ0dEHDfEvT/GxL0/4A1TdD/b0jQ/wOWJQj7WfvcTGnogICAtUnQ/wMC1i9B/w9YljVv/Culfl4pNQIcBP5OKfXqSrfpXqK1rgGmNPRJ4C+01sdXtlUrg1Lqz4AfA9uUUiNKqS+vdJsC7i5B/w/6vyHo/+uPoP8H/d8Q9P+lBBV+AwICAgICAgICAtYJa97zHxAQEBAQEBAQEBAgBMZ/QEBAQEBAQEBAwDohMP4DAgICAgICAgIC1gmB8R8QEBAQEBAQEBCwTgiM/4CAgICAgICAgIB1QmD8BwQEBAQEBAQEBKwTAuM/ICAgICAgICAgYJ0QGP8BAQEBAQEBAQEB64T/H5dWuTtt3ElSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 936x216 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(13,3)); \n",
    "\n",
    "plt.subplot(131,aspect='equal'); plt.scatter(X[:,0],X[:,1],c=c,alpha=0.3); \n",
    "plt.colorbar(); plt.title('generated clusters');\n",
    "\n",
    "plt.subplot(132,aspect='equal'); plt.scatter(X[:,0],X[:,1],c=v[:,1],cmap='seismic',alpha=0.3); \n",
    "plt.colorbar(); plt.title('colored by eigenvector');\n",
    "\n",
    "plt.subplot(133,aspect='equal'); plt.scatter(X[:,0],X[:,1],c=(v[:,1]>0),cmap='bwr', alpha=0.3); \n",
    "plt.colorbar(); plt.title('derived clusters');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Embedding coordinates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,4)); \n",
    "\n",
    "plt.subplot(121,aspect='equal');\n",
    "plt.scatter(X[:,0],X[:,1],c='k',edgecolor='none',alpha=0.4); plt.title('orig');\n",
    "\n",
    "plt.subplot(122,aspect='equal');\n",
    "plt.scatter(v[:,1],v[:,2],c='k',edgecolor='none',alpha=0.4); plt.title('eig');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Embedding with scikit-learn\n",
    "\n",
    "> See online [documentation](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.spectral_embedding.html)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import spectral_embedding\n",
    "\n",
    "v = spectral_embedding(adjacency=W, n_components=3, \n",
    "                       drop_first=False)\n",
    "s = np.argsort(v[:,1]) \n",
    "\n",
    "plt.figure(figsize=(9,4)) \n",
    "plt.subplot(121); plt.plot(v[s,1], 'xb', alpha=0.6)\n",
    "plt.subplot(122, aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1],c=(v[:,1]>0),cmap='BrBG',edgecolor='none',alpha=0.4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,4)); \n",
    "\n",
    "plt.subplot(121,aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1],c='k',edgecolor='none',alpha=0.4); plt.title('orig');\n",
    "\n",
    "plt.subplot(122,aspect='equal');\n",
    "plt.scatter(v[:,1],v[:,2],c='k',edgecolor='none',alpha=0.4); plt.title('eig');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Alternatively\n",
    "\n",
    "> See online [documentation](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.SpectralEmbedding.html)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parameters\n",
    "\n",
    "- Often we use a combination of two parameters\n",
    "\n",
    "> $k$: number of neighbors to consider for similarity graph\n",
    "\n",
    "> $\\epsilon$: bandwidth of the $\\exp\\left(-d^2/\\epsilon\\right)$ similarity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering scikit-learn\n",
    "\n",
    "> See online [documentation](http://scikit-learn.org/stable/modules/generated/sklearn.cluster.SpectralClustering.html#sklearn.cluster.SpectralClustering)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import SpectralClustering\n",
    "\n",
    "sc = SpectralClustering(n_clusters=2)\n",
    "clusters = sc.fit_predict(X)\n",
    "\n",
    "plt.figure(figsize=(9,4)); \n",
    "\n",
    "plt.subplot(121,aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1],c=c,edgecolor='none',alpha=0.4); plt.title('orig');\n",
    "\n",
    "#c = (v[:,1]<0)\n",
    "#c=clusters\n",
    "plt.subplot(122,aspect='equal');\n",
    "plt.scatter(X[:,0],X[:,1],c = (v[:,1]<0),cmap='BrBG',edgecolor='none',alpha=0.4); plt.title('clusters');"
   ]
  }
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